﻿57:@0.911172:0.510692:0.930079:0.510692:0.930079:0.494068:0.911172:0.494068:0.000000:0.000000
2. :@0.120102:0.631448:0.138843:0.631448:0.138843:0.614312:0.120102:0.614312:0.000000:0.000000:0.000000
Determina:@0.153346:0.631448:0.235035:0.631448:0.235035:0.614824:0.153346:0.614824:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 los siguientes productos.:@0.235035:0.631448:0.421024:0.631448:0.421024:0.615059:0.235035:0.615059:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.163818:0.115042:0.178725:0.115042:0.178725:0.098141:0.163818:0.098141:0.000000:0.000000
 :@0.178725:0.115042:0.182761:0.115042:0.182761:0.098653:0.178725:0.098653:0.000000
Raíz cuadrada en el denominador::@0.188953:0.115042:0.457313:0.115042:0.457313:0.098141:0.188953:0.098141:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.457313:0.115042:0.461348:0.115042:0.461348:0.098653:0.457313:0.098653:0.000000
a:@0.472025:0.105446:0.481294:0.105446:0.481294:0.089085:0.472025:0.089085:0.000000
b:@0.477369:0.125597:0.486638:0.125597:0.486638:0.109236:0.477369:0.109236:0.000000
 :@0.163818:0.135203:0.167853:0.135203:0.167853:0.118814:0.163818:0.118814:0.000000
Se multiplica al numerador y al  :@0.188953:0.135203:0.423039:0.135203:0.423039:0.118814:0.188953:0.118814:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
denominador por :@0.188953:0.151799:0.323530:0.151799:0.323530:0.135410:0.188953:0.135410:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.334776:0.131416:0.344045:0.131416:0.344045:0.115054:0.334776:0.115054:0.000000
b:@0.340120:0.151566:0.349389:0.151566:0.349389:0.135205:0.340120:0.135205:0.000000
.:@0.352441:0.151799:0.355648:0.151799:0.355648:0.135410:0.352441:0.135410:0.000000
=:@0.587141:0.124201:0.597257:0.124201:0.597257:0.108628:0.587141:0.108628:0.000000
⋅:@0.619186:0.115239:0.623793:0.115239:0.623793:0.099666:0.619186:0.099666:0.000000
⋅:@0.626152:0.135390:0.630759:0.135390:0.630759:0.119817:0.626152:0.119817:0.000000
=:@0.659027:0.124187:0.669144:0.124187:0.669144:0.108614:0.659027:0.108614:0.000000
3:@0.567202:0.114548:0.576195:0.114548:0.576195:0.098159:0.567202:0.098159:0.000000
5:@0.572749:0.134698:0.581741:0.134698:0.581741:0.118310:0.572749:0.118310:0.000000
3:@0.609033:0.114548:0.618025:0.114548:0.618025:0.098159:0.609033:0.098159:0.000000
5:@0.637669:0.114548:0.646662:0.114548:0.646662:0.098159:0.637669:0.098159:0.000000
5:@0.614524:0.134698:0.623517:0.134698:0.623517:0.118310:0.614524:0.118310:0.000000
5:@0.644635:0.134698:0.653627:0.134698:0.653627:0.118310:0.644635:0.118310:0.000000
35:@0.673898:0.114548:0.703787:0.114548:0.703787:0.098159:0.673898:0.098159:0.000000:0.000000
5:@0.685047:0.133993:0.694039:0.133993:0.694039:0.117604:0.685047:0.117604:0.000000
b):@0.163818:0.186953:0.180034:0.186953:0.180034:0.170052:0.163818:0.170052:0.000000:0.000000
 :@0.180034:0.186953:0.184069:0.186953:0.184069:0.170564:0.180034:0.170564:0.000000
Raíz n-ésima en el denominador::@0.188953:0.186953:0.448395:0.186953:0.448395:0.170052:0.188953:0.170052:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.448395:0.186953:0.452431:0.186953:0.452431:0.170564:0.448395:0.170564:0.000000
a:@0.467523:0.176808:0.476792:0.176808:0.476792:0.160447:0.467523:0.160447:0.000000
b:@0.468989:0.198811:0.478258:0.198811:0.478258:0.182449:0.468989:0.182449:0.000000
n:@0.479041:0.191148:0.484551:0.191148:0.484551:0.181666:0.479041:0.181666:0.000000
m:@0.456795:0.191269:0.465275:0.191269:0.465275:0.181787:0.456795:0.181787:0.000000
 :@0.163818:0.215706:0.167853:0.215706:0.167853:0.199317:0.163818:0.199317:0.000000
Se multiplica al numerador y al  :@0.188953:0.215706:0.423039:0.215706:0.423039:0.199317:0.188953:0.199317:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
denominador por la raíz :@0.188953:0.235829:0.368954:0.235829:0.368954:0.219441:0.188953:0.219441:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.384075:0.236570:0.393344:0.236570:0.393344:0.220209:0.384075:0.220209:0.000000
mn:@0.393917:0.228908:0.414187:0.228908:0.414187:0.219426:0.393917:0.219426:0.000000:0.000000
m:@0.371876:0.229026:0.380355:0.229026:0.380355:0.219544:0.371876:0.219544:0.000000
–:@0.402761:0.228906:0.408101:0.228906:0.408101:0.219407:0.402761:0.219407:0.000000
. :@0.420876:0.235823:0.428118:0.235823:0.428118:0.219434:0.420876:0.219434:0.000000:0.000000
=:@0.577193:0.190816:0.587310:0.190816:0.587310:0.175243:0.577193:0.175243:0.000000
⋅:@0.613477:0.181854:0.618084:0.181854:0.618084:0.166281:0.613477:0.166281:0.000000
⋅:@0.624312:0.203858:0.628919:0.203858:0.628919:0.188285:0.624312:0.188285:0.000000
=:@0.664264:0.190816:0.674380:0.190816:0.674380:0.175243:0.664264:0.175243:0.000000
=:@0.541922:0.236013:0.552039:0.236013:0.552039:0.220440:0.541922:0.220440:0.000000
2:@0.553440:0.181176:0.562432:0.181176:0.562432:0.164787:0.553440:0.164787:0.000000
5:@0.555540:0.203180:0.564533:0.203180:0.564533:0.186791:0.555540:0.186791:0.000000
2:@0.602918:0.181176:0.611911:0.181176:0.611911:0.164787:0.602918:0.164787:0.000000
5:@0.631978:0.181176:0.640971:0.181176:0.640971:0.164787:0.631978:0.164787:0.000000
5:@0.604595:0.203180:0.613588:0.203180:0.613588:0.186791:0.604595:0.186791:0.000000
5:@0.642814:0.203180:0.651806:0.203180:0.651806:0.186791:0.642814:0.186791:0.000000
25:@0.679135:0.181176:0.709430:0.181176:0.709430:0.164787:0.679135:0.164787:0.000000:0.000000
5:@0.695941:0.203180:0.704933:0.203180:0.704933:0.186791:0.695941:0.186791:0.000000
25:@0.556794:0.226387:0.587089:0.226387:0.587089:0.209998:0.556794:0.209998:0.000000:0.000000
5:@0.571720:0.245833:0.580713:0.245833:0.580713:0.229444:0.571720:0.229444:0.000000
4:@0.564210:0.195511:0.569422:0.195511:0.569422:0.186013:0.564210:0.186013:0.000000
7:@0.544784:0.195639:0.549995:0.195639:0.549995:0.186141:0.544784:0.186141:0.000000
3:@0.640633:0.173509:0.645845:0.173509:0.645845:0.164011:0.640633:0.164011:0.000000
7:@0.621207:0.173638:0.626419:0.173638:0.626419:0.164139:0.621207:0.164139:0.000000
4:@0.613667:0.195511:0.618879:0.195511:0.618879:0.186013:0.613667:0.186013:0.000000
7:@0.593825:0.195639:0.599036:0.195639:0.599036:0.186141:0.593825:0.186141:0.000000
3:@0.651463:0.195511:0.656674:0.195511:0.656674:0.186013:0.651463:0.186013:0.000000
7:@0.632036:0.195639:0.637248:0.195639:0.637248:0.186141:0.632036:0.186141:0.000000
3:@0.709101:0.173509:0.714312:0.173509:0.714312:0.164011:0.709101:0.164011:0.000000
7:@0.689674:0.173638:0.694886:0.173638:0.694886:0.164139:0.689674:0.164139:0.000000
7:@0.704380:0.195511:0.709592:0.195511:0.709592:0.186013:0.704380:0.186013:0.000000
7:@0.685168:0.195639:0.690379:0.195639:0.690379:0.186141:0.685168:0.186141:0.000000
3:@0.586744:0.218732:0.591956:0.218732:0.591956:0.209233:0.586744:0.209233:0.000000
7:@0.567318:0.218852:0.572529:0.218852:0.572529:0.209354:0.567318:0.209354:0.000000
c):@0.163818:0.268465:0.177638:0.268465:0.177638:0.251565:0.163818:0.251565:0.000000:0.000000
 :@0.177638:0.268465:0.181674:0.268465:0.181674:0.252076:0.177638:0.252076:0.000000
Suma o diferencia de raíces cuadradas :@0.188953:0.268465:0.494997:0.268465:0.494997:0.251565:0.188953:0.251565:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en el denominador:  :@0.188953:0.289667:0.351908:0.289667:0.351908:0.272766:0.188953:0.272766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.382420:0.279322:0.391689:0.279322:0.391689:0.262961:0.382420:0.262961:0.000000
b:@0.368488:0.299473:0.377757:0.299473:0.377757:0.283111:0.368488:0.283111:0.000000
c:@0.408163:0.299473:0.415829:0.299473:0.415829:0.283111:0.408163:0.283111:0.000000
±:@0.382420:0.300150:0.392536:0.300150:0.392536:0.284578:0.382420:0.284578:0.000000
;:@0.421007:0.288270:0.424213:0.288270:0.424213:0.271881:0.421007:0.271881:0.000000
 :@0.163818:0.329984:0.167853:0.329984:0.167853:0.313595:0.163818:0.313595:0.000000
Se multiplica el numerador y el  :@0.188953:0.329984:0.424182:0.329984:0.424182:0.313595:0.188953:0.313595:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
denominador por la conjugada  :@0.188953:0.346580:0.426319:0.346580:0.426319:0.330191:0.188953:0.330191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del denominador de la fracción: :@0.188953:0.363176:0.426135:0.363176:0.426135:0.346788:0.188953:0.346788:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.204075:0.382287:0.213344:0.382287:0.213344:0.365926:0.204075:0.365926:0.000000
c:@0.243750:0.382287:0.251416:0.382287:0.251416:0.365926:0.243750:0.365926:0.000000
±:@0.218006:0.382965:0.228123:0.382965:0.228123:0.367392:0.218006:0.367392:0.000000
.:@0.257631:0.383545:0.260837:0.383545:0.260837:0.367156:0.257631:0.367156:0.000000
(:@0.543970:0.368186:0.550106:0.368186:0.550106:0.339999:0.543970:0.339999:0.000000
):@0.610972:0.368186:0.617109:0.368186:0.617109:0.339999:0.610972:0.339999:0.000000
( ) ( ):@0.525284:0.395647:0.618583:0.395647:0.618583:0.367460:0.525284:0.367460:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.551037:0.291180:0.561154:0.291180:0.561154:0.275607:0.551037:0.275607:0.000000
=:@0.590823:0.279977:0.600939:0.279977:0.600939:0.264404:0.590823:0.264404:0.000000
+:@0.551037:0.336266:0.561154:0.336266:0.561154:0.320693:0.551037:0.320693:0.000000
⋅:@0.589514:0.325064:0.594121:0.325064:0.594121:0.309491:0.589514:0.309491:0.000000
=:@0.660921:0.325064:0.671038:0.325064:0.671038:0.309491:0.660921:0.309491:0.000000
=:@0.634736:0.374991:0.644853:0.374991:0.644853:0.359418:0.634736:0.359418:0.000000
=:@0.744030:0.376526:0.754147:0.376526:0.754147:0.360954:0.744030:0.360954:0.000000
2:@0.551560:0.270346:0.560553:0.270346:0.560553:0.253957:0.551560:0.253957:0.000000
2:@0.538212:0.290502:0.547204:0.290502:0.547204:0.274113:0.538212:0.274113:0.000000
3:@0.576431:0.290502:0.585423:0.290502:0.585423:0.274113:0.576431:0.274113:0.000000
2:@0.551553:0.315452:0.560546:0.315452:0.560546:0.299063:0.551553:0.299063:0.000000
2:@0.538212:0.335603:0.547204:0.335603:0.547204:0.319214:0.538212:0.319214:0.000000
3:@0.576431:0.335603:0.585423:0.335603:0.585423:0.319214:0.576431:0.319214:0.000000
2– 3:@0.609453:0.315452:0.655504:0.315452:0.655504:0.299063:0.609453:0.299063:0.000000:0.000000:0.000000:0.000000
2– 3:@0.609453:0.335603:0.655504:0.335603:0.655504:0.319214:0.609453:0.319214:0.000000:0.000000:0.000000:0.000000
2:@0.534434:0.361852:0.543427:0.361852:0.543427:0.345464:0.534434:0.345464:0.000000
2 –3:@0.563329:0.361852:0.609379:0.361852:0.609379:0.345464:0.563329:0.345464:0.000000:0.000000:0.000000:0.000000
2–:@0.544643:0.389292:0.580393:0.389292:0.580393:0.372903:0.544643:0.372903:0.000000:0.000000
3:@0.601861:0.389292:0.610854:0.389292:0.610854:0.372903:0.601861:0.372903:0.000000
(:@0.662017:0.369736:0.668153:0.369736:0.668153:0.341549:0.662017:0.341549:0.000000
):@0.729020:0.369736:0.735156:0.369736:0.735156:0.341549:0.729020:0.341549:0.000000
2:@0.652490:0.363380:0.661483:0.363380:0.661483:0.346991:0.652490:0.346991:0.000000
2 –3:@0.681384:0.363380:0.727435:0.363380:0.727435:0.346991:0.681384:0.346991:0.000000:0.000000:0.000000:0.000000
2–3:@0.677883:0.386366:0.709947:0.386366:0.709947:0.369977:0.677883:0.369977:0.000000:0.000000:0.000000
(:@0.781515:0.381619:0.787652:0.381619:0.787652:0.353432:0.781515:0.353432:0.000000
):@0.848518:0.381619:0.854655:0.381619:0.854655:0.353432:0.848518:0.353432:0.000000
–2:@0.762774:0.375273:0.780981:0.375273:0.780981:0.358884:0.762774:0.358884:0.000000:0.000000
2– 3:@0.800883:0.375273:0.846933:0.375273:0.846933:0.358884:0.800883:0.358884:0.000000:0.000000:0.000000:0.000000
2:@0.561652:0.376721:0.566863:0.376721:0.566863:0.367223:0.561652:0.367223:0.000000
2:@0.618457:0.376721:0.623668:0.376721:0.623668:0.367223:0.618457:0.367223:0.000000
Taller:@0.180593:0.470163:0.241488:0.470163:0.241488:0.436216:0.180593:0.436216:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aplica las propiedades algebraicas de los números reales en el cálculo de operaciones (radicación) y la solución de expresiones :@0.261615:0.452907:0.882472:0.452907:0.882472:0.442478:0.261615:0.442478:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.879904:0.452907:0.882472:0.452907:0.882472:0.442478:0.879904:0.442478:0.000000
numéricas y algebraicas. (Ref. I.M.4.2.2.):@0.261615:0.463469:0.441804:0.463469:0.441804:0.453039:0.261615:0.453039:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.152143:0.670838:0.167051:0.670838:0.167051:0.653937:0.152143:0.653937:0.000000:0.000000
⋅:@0.207638:0.672616:0.212245:0.672616:0.212245:0.657043:0.207638:0.657043:0.000000
3:@0.196011:0.671938:0.205003:0.671938:0.205003:0.655549:0.196011:0.655549:0.000000
18:@0.224960:0.671938:0.242743:0.671938:0.242743:0.655549:0.224960:0.655549:0.000000:0.000000
e):@0.548002:0.670838:0.563057:0.670838:0.563057:0.653937:0.548002:0.653937:0.000000:0.000000
⋅:@0.603720:0.672616:0.571730:0.672616:0.571730:0.657043:0.603720:0.657043:0.000000
⋅:@0.640318:0.672616:0.608327:0.672616:0.608327:0.657043:0.640318:0.657043:0.000000
3:@0.592093:0.671938:0.601085:0.671938:0.601085:0.655549:0.592093:0.655549:0.000000
81:@0.622203:0.671938:0.639986:0.671938:0.639986:0.655549:0.622203:0.655549:0.000000:0.000000
3:@0.658801:0.671938:0.667793:0.671938:0.667793:0.655549:0.658801:0.655549:0.000000
3:@0.581679:0.665102:0.586891:0.665102:0.586891:0.655604:0.581679:0.655604:0.000000
5:@0.611785:0.665102:0.616997:0.665102:0.616997:0.655604:0.611785:0.655604:0.000000
b):@0.152143:0.713787:0.168359:0.713787:0.168359:0.696887:0.152143:0.696887:0.000000:0.000000
⋅:@0.208057:0.715565:0.182553:0.715565:0.182553:0.699992:0.208057:0.699992:0.000000
⋅:@0.238168:0.715565:0.212664:0.715565:0.212664:0.699992:0.238168:0.699992:0.000000
⋅:@0.276682:0.715565:0.281289:0.715565:0.281289:0.699992:0.276682:0.699992:0.000000
2:@0.196006:0.714888:0.204998:0.714888:0.204998:0.698499:0.196006:0.698499:0.000000
5:@0.226522:0.714888:0.235514:0.714888:0.235514:0.698499:0.226522:0.698499:0.000000
18:@0.255472:0.714888:0.273254:0.714888:0.273254:0.698499:0.255472:0.698499:0.000000:0.000000
20:@0.295146:0.714888:0.312929:0.714888:0.312929:0.698499:0.295146:0.698499:0.000000:0.000000
f):@0.548002:0.713787:0.561012:0.713787:0.561012:0.696887:0.548002:0.696887:0.000000:0.000000
(:@0.602673:0.718719:0.608810:0.718719:0.608810:0.690532:0.602673:0.690532:0.000000
):@0.678485:0.718719:0.684621:0.718719:0.684621:0.690532:0.678485:0.690532:0.000000
+:@0.634449:0.713051:0.644566:0.713051:0.644566:0.697478:0.634449:0.697478:0.000000
3:@0.592103:0.712373:0.601095:0.712373:0.601095:0.695984:0.592103:0.695984:0.000000
3:@0.622047:0.712373:0.631040:0.712373:0.631040:0.695984:0.622047:0.695984:0.000000
12:@0.658700:0.712373:0.676483:0.712373:0.676483:0.695984:0.658700:0.695984:0.000000:0.000000
1. :@0.119958:0.510142:0.138699:0.510142:0.138699:0.493007:0.119958:0.493007:0.000000:0.000000:0.000000
Reduce:@0.153202:0.510142:0.210346:0.510142:0.210346:0.493518:0.153202:0.493518:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 a índice común las siguientes raíces.:@0.210346:0.510142:0.478888:0.510142:0.478888:0.493753:0.210346:0.493753:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.152143:0.544575:0.167051:0.544575:0.167051:0.527674:0.152143:0.527674:0.000000:0.000000
4; 5; 2:@0.196511:0.545046:0.267181:0.545046:0.267181:0.528657:0.196511:0.528657:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.212009:0.545046:0.215216:0.545046:0.215216:0.528657:0.212009:0.528657:0.000000
.:@0.242267:0.545046:0.245474:0.545046:0.245474:0.528657:0.242267:0.528657:0.000000
3:@0.185361:0.538210:0.190573:0.538210:0.190573:0.528712:0.185361:0.528712:0.000000
6:@0.217400:0.538210:0.222612:0.538210:0.222612:0.528712:0.217400:0.528712:0.000000
b):@0.514437:0.544575:0.530653:0.544575:0.530653:0.527674:0.514437:0.527674:0.000000:0.000000
b:@0.558072:0.546304:0.567341:0.546304:0.567341:0.529942:0.558072:0.529942:0.000000
b:@0.586506:0.546304:0.595775:0.546304:0.595775:0.529942:0.586506:0.529942:0.000000
b:@0.622202:0.546304:0.631471:0.546304:0.631471:0.529942:0.622202:0.529942:0.000000
b:@0.658909:0.546304:0.668179:0.546304:0.668179:0.529942:0.658909:0.529942:0.000000
,:@0.569432:0.546304:0.572638:0.546304:0.572638:0.529915:0.569432:0.529915:0.000000
,:@0.605144:0.546304:0.608351:0.546304:0.608351:0.529915:0.605144:0.529915:0.000000
,:@0.640636:0.546304:0.643842:0.546304:0.643842:0.529915:0.640636:0.529915:0.000000
2 6:@0.596341:0.538641:0.616889:0.538762:0.616889:0.529263:0.596341:0.529143:0.000000:0.000000:0.000000
3:@0.576082:0.538762:0.581293:0.538762:0.581293:0.529263:0.576082:0.529263:0.000000
5 10:@0.632043:0.538641:0.655100:0.538762:0.655100:0.529263:0.632043:0.529143:0.000000:0.000000:0.000000:0.000000
3:@0.668738:0.538641:0.673950:0.538641:0.673950:0.529143:0.668738:0.529143:0.000000
c):@0.152143:0.590239:0.165963:0.590239:0.165963:0.573338:0.152143:0.573338:0.000000:0.000000
mx:@0.194684:0.590710:0.216705:0.590710:0.216705:0.574349:0.194684:0.574349:0.000000:0.000000
mx:@0.236938:0.590710:0.266017:0.590710:0.266017:0.574349:0.236938:0.574349:0.000000:0.000000
mx:@0.293530:0.590710:0.322608:0.590710:0.322608:0.574349:0.293530:0.574349:0.000000:0.000000
xy:@0.344316:0.590710:0.368714:0.590710:0.368714:0.574349:0.344316:0.574349:0.000000:0.000000
,:@0.219874:0.590710:0.223081:0.590710:0.223081:0.574321:0.219874:0.574321:0.000000
,:@0.276466:0.590710:0.279672:0.590710:0.279672:0.574321:0.276466:0.574321:0.000000
,:@0.325778:0.590710:0.328984:0.590710:0.328984:0.574321:0.325778:0.574321:0.000000
32 6:@0.251799:0.583049:0.288217:0.583169:0.288217:0.573671:0.251799:0.573551:0.000000:0.000000:0.000000:0.000000
5:@0.226510:0.583169:0.231722:0.583169:0.231722:0.573671:0.226510:0.573671:0.000000
5:@0.308391:0.583049:0.313603:0.583049:0.313603:0.573551:0.308391:0.573551:0.000000
4:@0.353833:0.583049:0.359044:0.583049:0.359044:0.573551:0.353833:0.573551:0.000000
2:@0.370322:0.583049:0.375534:0.583049:0.375534:0.573551:0.370322:0.573551:0.000000
3:@0.332420:0.584893:0.337632:0.584893:0.337632:0.575394:0.332420:0.575394:0.000000
c):@0.152143:0.756737:0.165963:0.756737:0.165963:0.739836:0.152143:0.739836:0.000000:0.000000
⋅:@0.209523:0.758515:0.214130:0.758515:0.214130:0.742942:0.209523:0.742942:0.000000
4:@0.196753:0.757837:0.205745:0.757837:0.205745:0.741448:0.196753:0.741448:0.000000
16:@0.226863:0.757837:0.244646:0.757837:0.244646:0.741448:0.226863:0.741448:0.000000:0.000000
3:@0.185597:0.750999:0.190809:0.750999:0.190809:0.741501:0.185597:0.741501:0.000000
3:@0.217583:0.750999:0.222794:0.750999:0.222794:0.741501:0.217583:0.741501:0.000000
g):@0.548002:0.756737:0.564108:0.756737:0.564108:0.739836:0.548002:0.739836:0.000000:0.000000
(:@0.603092:0.761667:0.609229:0.761667:0.609229:0.733480:0.603092:0.733480:0.000000
):@0.691987:0.761667:0.698123:0.761667:0.698123:0.733480:0.691987:0.733480:0.000000
+:@0.635654:0.756000:0.645771:0.756000:0.645771:0.740427:0.635654:0.740427:0.000000
2:@0.592091:0.755322:0.601084:0.755322:0.601084:0.738933:0.592091:0.738933:0.000000
8:@0.622460:0.755322:0.631452:0.755322:0.631452:0.738933:0.622460:0.738933:0.000000
6–1:@0.661397:0.755322:0.694162:0.755322:0.694162:0.738933:0.661397:0.738933:0.000000:0.000000:0.000000
d):@0.152143:0.799685:0.168396:0.799685:0.168396:0.782784:0.152143:0.782784:0.000000:0.000000
⋅:@0.208057:0.801463:0.212664:0.801463:0.212664:0.785890:0.208057:0.785890:0.000000
2:@0.196024:0.800785:0.205017:0.800785:0.205017:0.784396:0.196024:0.784396:0.000000
12:@0.225398:0.800785:0.243180:0.800785:0.243180:0.784396:0.225398:0.784396:0.000000:0.000000
3:@0.185597:0.793949:0.190809:0.793949:0.190809:0.784451:0.185597:0.784451:0.000000
h):@0.548002:0.799685:0.564089:0.799685:0.564089:0.782784:0.548002:0.782784:0.000000:0.000000
x:@0.600482:0.800610:0.607945:0.800610:0.607945:0.784249:0.600482:0.784249:0.000000
x:@0.641115:0.800610:0.648578:0.800610:0.648578:0.784249:0.641115:0.784249:0.000000
x:@0.696435:0.800610:0.703898:0.800610:0.703898:0.784249:0.696435:0.784249:0.000000
(:@0.611477:0.809429:0.617613:0.809429:0.617613:0.776258:0.611477:0.776258:0.000000
):@0.714506:0.809429:0.720642:0.809429:0.720642:0.776258:0.714506:0.776258:0.000000
4:@0.589488:0.800610:0.598480:0.800610:0.598480:0.784221:0.589488:0.784221:0.000000
2:@0.630839:0.800610:0.639832:0.800610:0.639832:0.784221:0.630839:0.784221:0.000000
–6:@0.661208:0.800610:0.694801:0.800610:0.694801:0.784221:0.661208:0.784221:0.000000:0.000000
3:@0.578324:0.793784:0.583535:0.793784:0.583535:0.784286:0.578324:0.784286:0.000000
2:@0.650198:0.792958:0.655409:0.792958:0.655409:0.783460:0.650198:0.783460:0.000000
3:@0.620412:0.793063:0.625624:0.793063:0.625624:0.783565:0.620412:0.783565:0.000000
3:@0.705540:0.792958:0.710751:0.792958:0.710751:0.783460:0.705540:0.783460:0.000000
3:@0.675978:0.792518:0.681190:0.792518:0.681190:0.783020:0.675978:0.783020:0.000000
3. :@0.119714:0.838284:0.138454:0.838284:0.138454:0.821148:0.119714:0.821148:0.000000:0.000000:0.000000
Escribe:@0.152959:0.838284:0.207707:0.838284:0.207707:0.821660:0.152959:0.821660:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el factor racionalizante de cada expresión.:@0.207707:0.838284:0.517806:0.838284:0.517806:0.821895:0.207707:0.821895:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.154480:0.872192:0.169388:0.872192:0.169388:0.855292:0.154480:0.855292:0.000000:0.000000
3:@0.227941:0.861819:0.236933:0.861819:0.236933:0.845431:0.227941:0.845431:0.000000
7:@0.232861:0.881970:0.241854:0.881970:0.241854:0.865581:0.232861:0.865581:0.000000
c):@0.416192:0.872192:0.430013:0.872192:0.430013:0.855292:0.416192:0.855292:0.000000:0.000000
x:@0.494208:0.859305:0.501671:0.859305:0.501671:0.842944:0.494208:0.842944:0.000000
xy:@0.492218:0.881309:0.515566:0.881309:0.515566:0.864948:0.492218:0.864948:0.000000:0.000000
5:@0.484368:0.859305:0.493361:0.859305:0.493361:0.842916:0.484368:0.842916:0.000000
9:@0.481585:0.881309:0.490578:0.881309:0.490578:0.864920:0.481585:0.864920:0.000000
3:@0.501328:0.873645:0.506540:0.873645:0.506540:0.864147:0.501328:0.864147:0.000000
5:@0.471169:0.875489:0.476380:0.875489:0.476380:0.865991:0.471169:0.865991:0.000000
e):@0.677905:0.872192:0.692960:0.872192:0.692960:0.855292:0.677905:0.855292:0.000000:0.000000
m:@0.753514:0.860562:0.768145:0.860562:0.768145:0.844201:0.753514:0.844201:0.000000
mn:@0.758858:0.882566:0.782924:0.882566:0.782924:0.866205:0.758858:0.866205:0.000000:0.000000
6:@0.744355:0.860562:0.753348:0.860562:0.753348:0.844173:0.744355:0.844173:0.000000
100:@0.732101:0.882566:0.758673:0.882566:0.758673:0.866177:0.732101:0.866177:0.000000:0.000000:0.000000
2:@0.782882:0.874903:0.788094:0.874903:0.788094:0.865405:0.782882:0.865405:0.000000
3:@0.722831:0.875023:0.728042:0.875023:0.728042:0.865525:0.722831:0.865525:0.000000
b):@0.154480:0.914206:0.170696:0.914206:0.170696:0.897306:0.154480:0.897306:0.000000:0.000000
a:@0.231866:0.903833:0.241135:0.903833:0.241135:0.887472:0.231866:0.887472:0.000000
2:@0.222707:0.903833:0.231700:0.903833:0.231700:0.887445:0.222707:0.887445:0.000000
4:@0.233174:0.923984:0.242167:0.923984:0.242167:0.907595:0.233174:0.907595:0.000000
3:@0.222024:0.917153:0.227235:0.917153:0.227235:0.907655:0.222024:0.907655:0.000000
d):@0.416192:0.914206:0.432446:0.914206:0.432446:0.897306:0.416192:0.897306:0.000000:0.000000
a:@0.479811:0.900062:0.489080:0.900062:0.489080:0.883700:0.479811:0.883700:0.000000
a:@0.481691:0.923836:0.490960:0.923836:0.490960:0.907475:0.481691:0.907475:0.000000
(:@0.474471:0.926382:0.480607:0.926382:0.480607:0.905981:0.474471:0.905981:0.000000
):@0.511178:0.926382:0.517315:0.926382:0.517315:0.905981:0.511178:0.905981:0.000000
–1:@0.491905:0.900062:0.511475:0.900062:0.511475:0.883673:0.491905:0.883673:0.000000:0.000000
–1:@0.493784:0.923836:0.513355:0.923836:0.513355:0.907447:0.493784:0.907447:0.000000:0.000000
2:@0.517189:0.914403:0.522401:0.914403:0.522401:0.904905:0.517189:0.904905:0.000000
3:@0.464474:0.918018:0.469686:0.918018:0.469686:0.908520:0.464474:0.908520:0.000000
f):@0.677905:0.914206:0.690915:0.914206:0.690915:0.897306:0.677905:0.897306:0.000000:0.000000
x:@0.740006:0.903833:0.747469:0.903833:0.747469:0.887472:0.740006:0.887472:0.000000
+:@0.751366:0.904511:0.761483:0.904511:0.761483:0.888938:0.751366:0.888938:0.000000
+:@0.757806:0.924667:0.767922:0.924667:0.767922:0.909094:0.757806:0.909094:0.000000
2:@0.764237:0.903839:0.773230:0.903839:0.773230:0.887450:0.764237:0.887450:0.000000
23:@0.744980:0.923990:0.779679:0.923990:0.779679:0.907601:0.744980:0.907601:0.000000:0.000000
16;:@0.305983:0.545046:0.328981:0.545046:0.328981:0.528657:0.305983:0.528657:0.000000:0.000000:0.000000
..:@0.329902:0.545046:0.336149:0.545046:0.336149:0.528657:0.329902:0.528657:0.000000:0.000000
5;:@0.348846:0.545046:0.362261:0.545046:0.362261:0.528657:0.348846:0.528657:0.000000:0.000000
..:@0.363183:0.545046:0.369430:0.545046:0.369430:0.528657:0.363183:0.528657:0.000000:0.000000
8:@0.382126:0.545046:0.391119:0.545046:0.391119:0.528657:0.382126:0.528657:0.000000
6:@0.296612:0.538210:0.301824:0.538210:0.301824:0.528712:0.296612:0.528712:0.000000
6:@0.338337:0.538210:0.343549:0.538210:0.343549:0.528712:0.338337:0.528712:0.000000
6:@0.371637:0.538210:0.376848:0.538210:0.376848:0.528712:0.371637:0.528712:0.000000
b:@0.713459:0.546304:0.722728:0.546304:0.722728:0.529942:0.713459:0.529942:0.000000
b:@0.755234:0.546304:0.764503:0.546304:0.764503:0.529942:0.755234:0.529942:0.000000
b:@0.798110:0.546304:0.807379:0.546304:0.807379:0.529942:0.798110:0.529942:0.000000
b:@0.840567:0.546304:0.849837:0.546304:0.849837:0.529942:0.840567:0.529942:0.000000
,:@0.736284:0.546304:0.739490:0.546304:0.739490:0.529915:0.736284:0.529915:0.000000
,:@0.779165:0.546304:0.782371:0.546304:0.782371:0.529915:0.779165:0.529915:0.000000
,:@0.821622:0.546304:0.824829:0.546304:0.824829:0.529915:0.821622:0.529915:0.000000
15 30:@0.722621:0.538641:0.751445:0.538762:0.751445:0.529263:0.722621:0.529143:0.000000:0.000000:0.000000:0.000000:0.000000
30:@0.699382:0.538762:0.709666:0.538762:0.709666:0.529263:0.699382:0.529263:0.000000:0.000000
20 30:@0.765083:0.538641:0.794324:0.538762:0.794324:0.529263:0.765083:0.529143:0.000000:0.000000:0.000000:0.000000:0.000000
25 30:@0.807962:0.538641:0.836786:0.538762:0.836786:0.529263:0.807962:0.529143:0.000000:0.000000:0.000000:0.000000:0.000000
9:@0.850424:0.538641:0.855636:0.538641:0.855636:0.529143:0.850424:0.529143:0.000000
mx:@0.432270:0.594482:0.465753:0.594482:0.465753:0.578121:0.432270:0.578121:0.000000:0.000000
mx:@0.499328:0.594482:0.533235:0.594482:0.533235:0.578121:0.499328:0.578121:0.000000:0.000000
mx:@0.567013:0.594482:0.601177:0.594482:0.601177:0.578121:0.567013:0.578121:0.000000:0.000000
xy:@0.631878:0.594482:0.661141:0.594482:0.661141:0.578121:0.631878:0.578121:0.000000:0.000000
,:@0.480366:0.594482:0.483572:0.594482:0.483572:0.578093:0.480366:0.578093:0.000000
,:@0.548050:0.594482:0.551257:0.594482:0.551257:0.578093:0.548050:0.578093:0.000000
,:@0.611405:0.594482:0.614611:0.594482:0.614611:0.578093:0.611405:0.578093:0.000000
15 15 30:@0.446456:0.586821:0.495529:0.586941:0.495529:0.577443:0.446456:0.577323:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
30:@0.418187:0.586941:0.428471:0.586941:0.428471:0.577443:0.418187:0.577443:0.000000:0.000000
18 12 30:@0.513513:0.586821:0.563216:0.586941:0.563216:0.577443:0.513513:0.577323:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
25 5 30:@0.581884:0.586821:0.626557:0.588665:0.626557:0.579166:0.581884:0.577323:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
40:@0.641402:0.586821:0.651687:0.586821:0.651687:0.577323:0.641402:0.577323:0.000000:0.000000
20:@0.662761:0.586821:0.673046:0.586821:0.673046:0.577323:0.662761:0.577323:0.000000:0.000000
36:@0.406871:0.671938:0.437111:0.671938:0.437111:0.655549:0.406871:0.655549:0.000000:0.000000
33:@0.802379:0.674453:0.834148:0.674453:0.834148:0.658064:0.802379:0.658064:0.000000:0.000000
19:@0.833163:0.666792:0.843447:0.666792:0.843447:0.657294:0.833163:0.657294:0.000000:0.000000
30:@0.811067:0.666912:0.821351:0.666912:0.821351:0.657414:0.811067:0.657414:0.000000:0.000000
+:@0.799343:0.758515:0.809460:0.758515:0.809460:0.742942:0.799343:0.742942:0.000000
42 3–1:@0.788029:0.757837:0.864761:0.757837:0.864761:0.741448:0.788029:0.741448:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.801137:0.800473:0.808601:0.800473:0.808601:0.784112:0.801137:0.784112:0.000000
x:@0.834491:0.800473:0.841955:0.800473:0.841955:0.784112:0.834491:0.784112:0.000000
x:@0.866426:0.800473:0.873890:0.800473:0.873890:0.784112:0.866426:0.784112:0.000000
2–2:@0.790892:0.800473:0.833238:0.800473:0.833238:0.784084:0.790892:0.784084:0.000000:0.000000:0.000000
3:@0.855812:0.800473:0.864805:0.800473:0.864805:0.784084:0.855812:0.784084:0.000000
3:@0.845270:0.792930:0.850482:0.792930:0.850482:0.783432:0.845270:0.783432:0.000000
2 108:@0.399378:0.802042:0.446110:0.802042:0.446110:0.785653:0.399378:0.785653:0.000000:0.000000:0.000000:0.000000:0.000000
6:@0.410163:0.795206:0.415375:0.795206:0.415375:0.785708:0.410163:0.785708:0.000000
60:@0.414733:0.713102:0.432719:0.713102:0.432719:0.696713:0.414733:0.696713:0.000000:0.000000
9:@0.799760:0.713102:0.808753:0.713102:0.808753:0.696713:0.799760:0.696713:0.000000
4:@0.413812:0.755630:0.422805:0.755630:0.422805:0.739241:0.413812:0.739241:0.000000
7:@0.299865:0.873921:0.308858:0.873921:0.308858:0.857532:0.299865:0.857532:0.000000
2:@0.300284:0.915935:0.309277:0.915935:0.309277:0.899546:0.300284:0.899546:0.000000
3:@0.289866:0.909099:0.295078:0.909099:0.295078:0.899601:0.289866:0.899601:0.000000
xy:@0.579361:0.872664:0.602911:0.872664:0.602911:0.856302:0.579361:0.856302:0.000000:0.000000
3:@0.562444:0.872664:0.571437:0.872664:0.571437:0.856275:0.562444:0.856275:0.000000
3:@0.571142:0.865001:0.576354:0.865001:0.576354:0.855503:0.571142:0.855503:0.000000
2:@0.588475:0.865001:0.593687:0.865001:0.593687:0.855503:0.588475:0.855503:0.000000
4:@0.604964:0.865001:0.610176:0.865001:0.610176:0.855503:0.604964:0.855503:0.000000
5:@0.552036:0.866845:0.557248:0.866845:0.557248:0.857347:0.552036:0.857347:0.000000
a:@0.569257:0.913420:0.578526:0.913420:0.578526:0.897059:0.569257:0.897059:0.000000
(:@0.562453:0.916553:0.568589:0.916553:0.568589:0.896619:0.562453:0.896619:0.000000
):@0.598368:0.916553:0.604504:0.916553:0.604504:0.896619:0.598368:0.896619:0.000000
–1:@0.581351:0.913420:0.600921:0.913420:0.600921:0.897032:0.581351:0.897032:0.000000:0.000000
3:@0.552034:0.909060:0.557246:0.909060:0.557246:0.899562:0.552034:0.899562:0.000000
mn:@0.837884:0.872664:0.868123:0.872664:0.868123:0.856302:0.837884:0.856302:0.000000:0.000000
10:@0.819935:0.872664:0.837718:0.872664:0.837718:0.856275:0.819935:0.856275:0.000000:0.000000
2:@0.852751:0.865001:0.857963:0.865001:0.857963:0.855503:0.852751:0.855503:0.000000
3:@0.810663:0.865122:0.815875:0.865122:0.815875:0.855623:0.810663:0.855623:0.000000
2–3:@0.821079:0.915935:0.854618:0.915935:0.854618:0.899546:0.821079:0.899546:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684192:0.079553:0.268045:0.061505:0.268045:0.061505:0.684192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000