51:@0.904366:0.963104:0.932133:0.963104:0.932133:0.941283:0.904366:0.941283:0.000000:0.000000
Matemática:@0.795130:0.956142:0.879896:0.956142:0.879896:0.943479:0.795130:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
9.º EGB:@0.829358:0.967458:0.879897:0.967458:0.879897:0.954794:0.829358:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DUA:@0.748004:0.068322:0.791647:0.068322:0.791647:0.048070:0.748004:0.048070:0.000000:0.000000:0.000000
. Representación:@0.791647:0.067693:0.923937:0.067693:0.923937:0.050792:0.791647:0.050792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Proceso de racionalización :@0.096359:0.105227:0.330133:0.105227:0.330133:0.086790:0.096359:0.086790:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cuando las expresiones numéricas tienen en el denominador una o más raíces, estas :@0.096359:0.125074:0.716597:0.125074:0.716597:0.108685:0.096359:0.108685:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pueden ser eliminadas a través del proceso de racionalización. De acuerdo con :@0.096359:0.141670:0.716541:0.141670:0.716541:0.125281:0.096359:0.125281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la forma del denominador, analizaremos tres casos de racionalización.:@0.096359:0.158267:0.604993:0.158267:0.604993:0.141878:0.096359:0.141878:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Caso 1:@0.105857:0.192790:0.157657:0.192790:0.157657:0.175889:0.105857:0.175889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El denominador contiene un solo término formado por una sola raíz cuadrada. :@0.105857:0.209386:0.707045:0.209386:0.707045:0.192997:0.105857:0.192997:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En este caso, basta multiplicar numerador y denominador por la misma raíz :@0.105857:0.225982:0.706984:0.225982:0.706984:0.209593:0.105857:0.209593:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuadrada.:@0.105857:0.242579:0.177651:0.242579:0.177651:0.226190:0.105857:0.226190:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo: :@0.096366:0.266298:0.163203:0.266298:0.163203:0.249660:0.096366:0.249660:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Racionaliza la expresión obtenida como resultado en la situación inicial.:@0.096366:0.290017:0.618639:0.290017:0.618639:0.273628:0.096366:0.273628:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución:@0.096366:0.320872:0.160144:0.320872:0.160144:0.304234:0.096366:0.304234:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
⋅:@0.135623:0.356597:0.140230:0.356597:0.140230:0.341024:0.135623:0.341024:0.000000
=:@0.179555:0.356597:0.189671:0.356597:0.189671:0.341024:0.179555:0.341024:0.000000
=:@0.240071:0.356597:0.250188:0.356597:0.250188:0.341024:0.240071:0.341024:0.000000
8:@0.111870:0.346957:0.120863:0.346957:0.120863:0.330568:0.111870:0.330568:0.000000
37:@0.112976:0.367108:0.130758:0.367108:0.130758:0.350719:0.112976:0.350719:0.000000:0.000000
37:@0.155599:0.346957:0.173381:0.346957:0.173381:0.330568:0.155599:0.330568:0.000000:0.000000
37:@0.155599:0.367108:0.173381:0.367108:0.173381:0.350719:0.155599:0.350719:0.000000:0.000000
837:@0.194444:0.346957:0.233898:0.346957:0.233898:0.330568:0.194444:0.330568:0.000000:0.000000:0.000000
37:@0.207896:0.368961:0.225679:0.368961:0.225679:0.352572:0.207896:0.352572:0.000000:0.000000
837:@0.254961:0.346957:0.294414:0.346957:0.294414:0.330568:0.254961:0.330568:0.000000:0.000000:0.000000
37:@0.266515:0.366403:0.284297:0.366403:0.284297:0.350014:0.266515:0.350014:0.000000:0.000000
2:@0.226138:0.361303:0.231350:0.361303:0.231350:0.351805:0.226138:0.351805:0.000000
 Multiplicamos el numerador y el denominador:@0.300738:0.354810:0.646533:0.354810:0.646533:0.338421:0.300738:0.338421:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por  37  y aplicamos propiedades.:@0.096357:0.392844:0.354600:0.392835:0.354600:0.376446:0.096357:0.376455:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Caso 2:@0.105857:0.421493:0.157657:0.421493:0.157657:0.404592:0.105857:0.404592:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si  el  denominador  de  la  fracción  contiene  un  binomio  con  raíz  cuadrada  se :@0.105857:0.438089:0.707045:0.438089:0.707045:0.421700:0.105857:0.421700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
multiplica el numerador y el denominador por el conjugado del denominador. El :@0.105857:0.454685:0.707113:0.454685:0.707113:0.438296:0.105857:0.438296:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conjugado de una suma es la resta y viceversa. El producto que resulta, :@0.105857:0.476053:0.707040:0.476053:0.707040:0.459664:0.105857:0.459664:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.132740:0.498759:0.140203:0.498759:0.140203:0.482397:0.132740:0.482397:0.000000
y:@0.170480:0.498759:0.177962:0.498759:0.177962:0.482397:0.170480:0.482397:0.000000
x:@0.209012:0.498759:0.216475:0.498759:0.216475:0.482397:0.209012:0.482397:0.000000
y:@0.247176:0.498759:0.254657:0.498759:0.254657:0.482397:0.247176:0.482397:0.000000
(:@0.112323:0.505614:0.049669:0.505614:0.049669:0.478206:0.112323:0.478206:0.000000
):@0.181113:0.505614:0.118459:0.505614:0.118459:0.478206:0.181113:0.478206:0.000000
(:@0.188595:0.505614:0.125517:0.505614:0.125517:0.478206:0.188595:0.478206:0.000000
):@0.257809:0.505614:0.194731:0.505614:0.194731:0.478206:0.257809:0.478206:0.000000
+:@0.144571:0.499436:0.077992:0.499436:0.077992:0.483863:0.144571:0.483863:0.000000
−:@0.221266:0.499436:0.154687:0.499436:0.154687:0.483863:0.221266:0.483863:0.000000
, es igual a :@0.264464:0.498691:0.343924:0.498691:0.343924:0.482302:0.264464:0.482302:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.346792:0.504130:0.321104:0.504130:0.321104:0.475943:0.346792:0.475943:0.000000
):@0.378617:0.504130:0.352929:0.504130:0.352929:0.475943:0.378617:0.475943:0.000000
(:@0.406627:0.504130:0.380939:0.504130:0.380939:0.475943:0.406627:0.475943:0.000000
):@0.438452:0.504130:0.412764:0.504130:0.412764:0.475943:0.438452:0.475943:0.000000
−:@0.394170:0.498462:0.404286:0.498462:0.404286:0.482889:0.394170:0.482889:0.000000
x:@0.367634:0.497784:0.375097:0.497784:0.375097:0.481423:0.367634:0.481423:0.000000
y:@0.427468:0.497784:0.434950:0.497784:0.434950:0.481423:0.427468:0.481423:0.000000
2:@0.384641:0.485221:0.389853:0.485221:0.389853:0.475723:0.384641:0.475723:0.000000
2:@0.444479:0.485221:0.449691:0.485221:0.449691:0.475723:0.444479:0.475723:0.000000
. :@0.456835:0.498691:0.464077:0.498691:0.464077:0.482302:0.456835:0.482302:0.000000:0.000000
Ejemplo::@0.096354:0.529422:0.159837:0.529422:0.159837:0.512784:0.096354:0.512784:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Racionaliza :@0.096354:0.558341:0.181987:0.558341:0.181987:0.541952:0.096354:0.541952:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.210994:0.571466:0.221111:0.571466:0.221111:0.555893:0.210994:0.555893:0.000000
6:@0.211726:0.550632:0.220719:0.550632:0.220719:0.534244:0.211726:0.534244:0.000000
5:@0.198587:0.570788:0.207580:0.570788:0.207580:0.554399:0.198587:0.554399:0.000000
3:@0.236382:0.570788:0.245375:0.570788:0.245375:0.554399:0.236382:0.554399:0.000000
Solución:@0.096359:0.583063:0.160137:0.583063:0.160137:0.566425:0.096359:0.566425:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Multiplicamos el numerador y el denominador por  5:@0.096359:0.605952:0.495723:0.607203:0.495723:0.590815:0.096359:0.589564:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.499132:0.607881:0.509249:0.607881:0.509249:0.592308:0.499132:0.592308:0.000000
3:@0.524525:0.607203:0.533518:0.607203:0.533518:0.590815:0.524525:0.590815:0.000000
(:@0.261109:0.639867:0.267245:0.639867:0.267245:0.611680:0.261109:0.611680:0.000000
) (:@0.328849:0.639867:0.370385:0.639867:0.370385:0.611680:0.328849:0.611680:0.000000:0.000000:0.000000
):@0.431988:0.639867:0.438125:0.639867:0.438125:0.611680:0.431988:0.611680:0.000000
(:@0.464754:0.652361:0.470891:0.652361:0.470891:0.624174:0.464754:0.624174:0.000000
):@0.532494:0.652361:0.538631:0.652361:0.538631:0.624174:0.532494:0.624174:0.000000
+:@0.125362:0.657892:0.135479:0.657892:0.135479:0.642319:0.125362:0.642319:0.000000
⋅:@0.163839:0.646693:0.168446:0.646693:0.168446:0.631120:0.163839:0.631120:0.000000
−:@0.196198:0.637731:0.206315:0.637731:0.206315:0.622158:0.196198:0.622158:0.000000
−:@0.196193:0.657892:0.206310:0.657892:0.206310:0.642319:0.196193:0.642319:0.000000
=:@0.235980:0.646693:0.246097:0.646693:0.246097:0.631120:0.235980:0.631120:0.000000
−:@0.292885:0.634204:0.303001:0.634204:0.303001:0.618631:0.292885:0.618631:0.000000
−:@0.287541:0.657190:0.297657:0.657190:0.297657:0.641617:0.287541:0.641617:0.000000
=:@0.339101:0.646693:0.349218:0.646693:0.349218:0.631120:0.339101:0.631120:0.000000
−:@0.396006:0.634204:0.406122:0.634204:0.406122:0.618631:0.396006:0.618631:0.000000
=:@0.442241:0.646693:0.452357:0.646693:0.452357:0.631120:0.442241:0.631120:0.000000
−:@0.496528:0.646693:0.506645:0.646693:0.506645:0.631120:0.496528:0.631120:0.000000
=:@0.541293:0.646693:0.551409:0.646693:0.551409:0.631120:0.541293:0.631120:0.000000
−:@0.587988:0.646693:0.598105:0.646693:0.598105:0.631120:0.587988:0.631120:0.000000
6:@0.126094:0.637057:0.135087:0.637057:0.135087:0.620668:0.126094:0.620668:0.000000
5:@0.112955:0.657214:0.121947:0.657214:0.121947:0.640825:0.112955:0.640825:0.000000
3:@0.150750:0.657214:0.159742:0.657214:0.159742:0.640825:0.150750:0.640825:0.000000
5:@0.183786:0.637057:0.192779:0.637057:0.192779:0.620668:0.183786:0.620668:0.000000
3:@0.221581:0.637057:0.230574:0.637057:0.230574:0.620668:0.221581:0.620668:0.000000
5:@0.183786:0.657214:0.192779:0.657214:0.192779:0.640825:0.183786:0.640825:0.000000
3:@0.221581:0.657214:0.230574:0.657214:0.230574:0.640825:0.221581:0.640825:0.000000
6:@0.251215:0.633521:0.260207:0.633521:0.260207:0.617132:0.251215:0.617132:0.000000
5:@0.280478:0.633521:0.289471:0.633521:0.289471:0.617132:0.280478:0.617132:0.000000
3:@0.318273:0.633521:0.327266:0.633521:0.327266:0.617132:0.318273:0.617132:0.000000
53:@0.276608:0.656507:0.309428:0.656507:0.309428:0.640118:0.276608:0.640118:0.000000:0.000000
6:@0.354354:0.633521:0.363347:0.633521:0.363347:0.617132:0.354354:0.617132:0.000000
5:@0.383617:0.633521:0.392610:0.633521:0.392610:0.617132:0.383617:0.617132:0.000000
3:@0.421412:0.633521:0.430405:0.633521:0.430405:0.617132:0.421412:0.617132:0.000000
2:@0.391412:0.656507:0.400405:0.656507:0.400405:0.640118:0.391412:0.640118:0.000000
3:@0.455651:0.646010:0.464644:0.646010:0.464644:0.629621:0.455651:0.629621:0.000000
5:@0.484140:0.646010:0.493133:0.646010:0.493133:0.629621:0.484140:0.629621:0.000000
3:@0.521935:0.646010:0.530928:0.646010:0.530928:0.629621:0.521935:0.629621:0.000000
3 53 3:@0.554700:0.646010:0.630769:0.646010:0.630769:0.629621:0.554700:0.629621:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Caso 3:@0.105857:0.688498:0.157657:0.688498:0.157657:0.671597:0.105857:0.671597:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si el denominador solo tiene un término con una raíz de índice cualquiera,  , se :@0.105857:0.705094:0.707113:0.705094:0.707113:0.688705:0.105857:0.688705:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.669429:0.705094:0.678938:0.705094:0.678938:0.688733:0.669429:0.688733:0.000000
multiplican numerador y denominador por otra raíz de índice   que complete :@0.105857:0.721691:0.707095:0.721691:0.707095:0.705302:0.105857:0.705302:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.581437:0.721691:0.590946:0.721691:0.590946:0.705330:0.581437:0.705330:0.000000
una potencia de exponente  .:@0.105857:0.738287:0.326542:0.738287:0.326542:0.721898:0.105857:0.721898:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.313827:0.738287:0.323336:0.738287:0.323336:0.721926:0.313827:0.721926:0.000000
Ejemplo::@0.096366:0.767428:0.159850:0.767428:0.159850:0.750790:0.096366:0.750790:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Racionaliza :@0.096366:0.797190:0.182000:0.797190:0.182000:0.780802:0.096366:0.780802:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8:@0.196806:0.789482:0.205799:0.789482:0.205799:0.773093:0.196806:0.773093:0.000000
6:@0.198944:0.811486:0.207937:0.811486:0.207937:0.795097:0.198944:0.795097:0.000000
3:@0.208429:0.803822:0.213641:0.803822:0.213641:0.794324:0.208429:0.794324:0.000000
5:@0.188170:0.803943:0.193381:0.803943:0.193381:0.794444:0.188170:0.794444:0.000000
Solución:@0.096359:0.823170:0.160137:0.823170:0.160137:0.806532:0.096359:0.806532:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El factor racionalizante es  6  porque completa el exponente 5.:@0.096359:0.847899:0.571273:0.847900:0.571273:0.831511:0.096359:0.831510:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.310027:0.840239:0.315239:0.840239:0.315239:0.830741:0.310027:0.830741:0.000000
5:@0.289768:0.840359:0.294980:0.840359:0.294980:0.830861:0.289768:0.830861:0.000000
8:@0.111175:0.882750:0.120167:0.882750:0.120167:0.866361:0.111175:0.866361:0.000000
6:@0.113312:0.904754:0.122305:0.904754:0.122305:0.888365:0.113312:0.888365:0.000000
3:@0.122796:0.897090:0.128008:0.897090:0.128008:0.887592:0.122796:0.887592:0.000000
5:@0.102537:0.897210:0.107748:0.897210:0.107748:0.887712:0.102537:0.887712:0.000000
 = :@0.136565:0.892965:0.154255:0.892965:0.154255:0.876327:0.136565:0.876327:0.000000:0.000000:0.000000
⋅:@0.192158:0.892386:0.196764:0.892386:0.196764:0.876813:0.192158:0.876813:0.000000
=:@0.234928:0.892386:0.245045:0.892386:0.245045:0.876813:0.234928:0.876813:0.000000
8:@0.169068:0.882746:0.178060:0.882746:0.178060:0.866357:0.169068:0.866357:0.000000
6:@0.171205:0.904750:0.180198:0.904750:0.180198:0.888361:0.171205:0.888361:0.000000
6:@0.212465:0.882746:0.221457:0.882746:0.221457:0.866357:0.212465:0.866357:0.000000
6:@0.212465:0.904750:0.221457:0.904750:0.221457:0.888361:0.212465:0.888361:0.000000
86:@0.249799:0.882746:0.280831:0.882746:0.280831:0.866357:0.249799:0.866357:0.000000:0.000000
6:@0.265352:0.902191:0.274345:0.902191:0.274345:0.885802:0.265352:0.885802:0.000000
3:@0.180692:0.897090:0.185904:0.897090:0.185904:0.887592:0.180692:0.887592:0.000000
5:@0.160433:0.897210:0.165645:0.897210:0.165645:0.887712:0.160433:0.887712:0.000000
2:@0.221948:0.875088:0.227159:0.875088:0.227159:0.865590:0.221948:0.865590:0.000000
5:@0.201688:0.875208:0.206900:0.875208:0.206900:0.865710:0.201688:0.865710:0.000000
2:@0.221948:0.897090:0.227159:0.897090:0.227159:0.887592:0.221948:0.887592:0.000000
5:@0.201688:0.897210:0.206900:0.897210:0.206900:0.887712:0.201688:0.887712:0.000000
2:@0.281316:0.875088:0.286527:0.875088:0.286527:0.865590:0.281316:0.865590:0.000000
5:@0.261057:0.875208:0.266268:0.875208:0.266268:0.865710:0.261057:0.865710:0.000000
El conjugado de :@0.755005:0.169210:0.867145:0.169210:0.867145:0.154311:0.755005:0.154311:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.794321:0.189062:0.804438:0.189062:0.804438:0.173489:0.794321:0.173489:0.000000
+:@0.884635:0.189062:0.894751:0.189062:0.894751:0.173489:0.884635:0.173489:0.000000
ax besa xb:@0.757990:0.188384:0.906776:0.188384:0.906776:0.172023:0.757990:0.172023:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y su producto es :@0.755005:0.209444:0.869137:0.209444:0.869137:0.194545:0.755005:0.194545:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.788511:0.227598:0.798628:0.227598:0.798628:0.212025:0.788511:0.212025:0.000000
ax b:@0.760354:0.226920:0.810661:0.226920:0.810661:0.211527:0.760354:0.211527:0.000000:0.000000:0.000000:0.000000
2:@0.770187:0.219258:0.775399:0.219258:0.775399:0.210177:0.770187:0.210177:0.000000
2:@0.811229:0.219258:0.816441:0.219258:0.816441:0.210177:0.811229:0.210177:0.000000
.:@0.818756:0.231817:0.821671:0.231817:0.821671:0.216918:0.818756:0.216918:0.000000
El conjugado de :@0.755013:0.250463:0.867153:0.250463:0.867153:0.235564:0.755013:0.235564:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.785672:0.267777:0.793563:0.267777:0.793563:0.255630:0.785672:0.255630:0.000000
+:@0.875018:0.267777:0.882909:0.267777:0.882909:0.255630:0.875018:0.255630:0.000000
ax by es ax by:@0.757333:0.267248:0.909238:0.267248:0.909238:0.254486:0.757333:0.254486:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y su producto es: :@0.755005:0.288666:0.872052:0.288666:0.872052:0.273767:0.755005:0.273767:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.785543:0.306820:0.795659:0.306820:0.795659:0.291247:0.785543:0.291247:0.000000
ax by:@0.757385:0.306143:0.822711:0.306143:0.822711:0.290750:0.757385:0.290750:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.767220:0.298480:0.772432:0.298480:0.772432:0.289399:0.767220:0.289399:0.000000
2:@0.808262:0.298480:0.813474:0.298480:0.813474:0.289399:0.808262:0.289399:0.000000
.:@0.825405:0.309783:0.828320:0.309783:0.828320:0.294884:0.825405:0.294884:0.000000
     Matemática:@0.775870:0.136768:0.883411:0.136768:0.883411:0.119867:0.775870:0.119867:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Amplía tu conocimiento :@0.755425:0.461736:0.917773:0.461736:0.917773:0.446837:0.755425:0.446837:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sobre racionalización :@0.755425:0.476824:0.899345:0.476824:0.899345:0.461925:0.755425:0.461925:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ingresando al siguiente :@0.755425:0.491911:0.914353:0.491911:0.914353:0.477012:0.755425:0.477012:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
enlace: :@0.755425:0.506999:0.805867:0.506999:0.805867:0.492100:0.755425:0.492100:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lynk.ec/9mt05:@0.805867:0.506999:0.901020:0.506999:0.901020:0.491874:0.805867:0.491874:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Digital:@0.807197:0.429295:0.857667:0.429295:0.857667:0.412395:0.807197:0.412395:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ingresa al siguiente :@0.755425:0.747867:0.887633:0.747867:0.887633:0.732968:0.755425:0.732968:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
enlace web y realiza :@0.755425:0.762954:0.892575:0.762954:0.892575:0.748055:0.755425:0.748055:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ejercicios interactivos :@0.755425:0.778042:0.901638:0.778042:0.901638:0.763143:0.755425:0.763143:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de racionalización.:@0.755425:0.793129:0.878538:0.793129:0.878538:0.778230:0.755425:0.778230:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lynk.ec/9mt06:@0.755425:0.811775:0.847362:0.811775:0.847362:0.796650:0.755425:0.796650:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Digital:@0.807197:0.715424:0.857667:0.715424:0.857667:0.698524:0.807197:0.698524:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@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