50:@0.067867:0.963104:0.095634:0.963104:0.095634:0.941283:0.067867:0.941283:0.000000:0.000000
Matemática:@0.120102:0.956142:0.204868:0.956142:0.204868:0.943479:0.120102:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
9.º EGB:@0.120102:0.967458:0.170641:0.967458:0.170641:0.954794:0.120102:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DUA:@0.070720:0.123711:0.114363:0.123711:0.114363:0.103460:0.070720:0.103460:0.000000:0.000000:0.000000
. Representación:@0.114363:0.123082:0.246653:0.123082:0.246653:0.106182:0.114363:0.106182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Racionalización de números reales:@0.286308:0.079033:0.884087:0.079033:0.884087:0.042159:0.286308:0.042159:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.094760:0.108604:0.159692:0.108604:0.159692:0.011516:0.094760:0.011516:0.000000
La racionalización se utiliza para simplificar una expresión y hacerla más manejable :@0.287495:0.153866:0.907714:0.153866:0.907714:0.137477:0.287495:0.137477:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y fácil de trabajar.:@0.287495:0.170462:0.413999:0.170462:0.413999:0.154073:0.287495:0.154073:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Es  una  operación  fundamental  en  matemáticas  y  tiene  diversas  aplicaciones :@0.287495:0.194181:0.907683:0.194181:0.907683:0.177792:0.287495:0.177792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en el cálculo de operaciones, como por ejemplo, resta o suma de fracciones.:@0.287495:0.210778:0.845423:0.210778:0.845423:0.194389:0.287495:0.194389:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La racionalización de números reales es el proceso que se aplica sobre una expresión :@0.287495:0.234497:0.907606:0.234497:0.907606:0.218108:0.287495:0.218108:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fraccionaria que contiene raíces de índice  , mediante el cual se eliminan dichas raí-:@0.287495:0.251093:0.903566:0.251093:0.903566:0.234704:0.287495:0.234704:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.597209:0.251093:0.606717:0.251093:0.606717:0.234732:0.597209:0.234732:0.000000
ces del denominador y en ocasiones del numerador, obteniendo una expresión :@0.287495:0.267689:0.907622:0.267689:0.907622:0.251301:0.287495:0.251301:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
equivalente a la original.:@0.287495:0.284286:0.464839:0.284286:0.464839:0.267897:0.287495:0.267897:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Veamos el siguiente ejemplo: :@0.287495:0.308005:0.506174:0.308005:0.506174:0.291616:0.287495:0.291616:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Wilma elabora banderines para adornar las calles de su barrio, a propósito de la fun-:@0.287495:0.331724:0.903583:0.331724:0.903583:0.315335:0.287495:0.315335:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dación de la ciudad donde habita. Estos banderines están conformados por algunos :@0.287495:0.348320:0.907748:0.348320:0.907748:0.331931:0.287495:0.331931:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
triángulos de medidas diferentes, como se muestra en la figura. ¿Cuántas veces más :@0.287495:0.364917:0.907659:0.364917:0.907659:0.348528:0.287495:0.348528:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
grande es el lado del triángulo grande respecto del lado del triángulo pequeño? :@0.287495:0.381513:0.907659:0.381513:0.907659:0.365124:0.287495:0.365124:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Expresar el valor exacto.:@0.287495:0.398109:0.461688:0.398109:0.461688:0.381720:0.287495:0.381720:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Como primer paso, calculamos el valor de los lados de cada triángulo. Estos lados :@0.287495:0.421828:0.907678:0.421828:0.907678:0.405439:0.287495:0.405439:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
corresponden a la hipotenusa de los triángulos rectángulos que se forman entre la :@0.287495:0.438425:0.907714:0.438425:0.907714:0.422036:0.287495:0.422036:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
altura y la mitad de la base de los triángulos.:@0.287495:0.455021:0.610654:0.455021:0.610654:0.438632:0.287495:0.438632:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.380602:0.627567:0.386738:0.627567:0.386738:0.602339:0.380602:0.602339:0.000000
) (:@0.435000:0.627567:0.469138:0.627567:0.469138:0.602339:0.435000:0.602339:0.000000:0.000000:0.000000
):@0.516608:0.627567:0.522744:0.627567:0.522744:0.602339:0.516608:0.602339:0.000000
=:@0.355106:0.623431:0.365223:0.623431:0.365223:0.607859:0.355106:0.607859:0.000000
+:@0.450543:0.623431:0.460660:0.623431:0.460660:0.607859:0.450543:0.607859:0.000000
=:@0.355106:0.652546:0.365223:0.652546:0.365223:0.636973:0.355106:0.636973:0.000000
=:@0.355106:0.678118:0.365223:0.678118:0.365223:0.662545:0.355106:0.662545:0.000000
⋅:@0.398872:0.678118:0.403479:0.678118:0.403479:0.662545:0.398872:0.662545:0.000000
=:@0.355106:0.703690:0.365223:0.703690:0.365223:0.688117:0.355106:0.688117:0.000000
⋅:@0.431010:0.703690:0.435617:0.703690:0.435617:0.688117:0.431010:0.688117:0.000000
=:@0.355106:0.729280:0.365223:0.729280:0.365223:0.713707:0.355106:0.713707:0.000000
l:@0.347097:0.622754:0.350893:0.622754:0.350893:0.606392:0.347097:0.606392:0.000000
cm:@0.412442:0.622754:0.434340:0.622754:0.434340:0.606392:0.412442:0.606392:0.000000:0.000000
cm:@0.494046:0.622754:0.515955:0.622754:0.515955:0.606392:0.494046:0.606392:0.000000:0.000000
l:@0.347102:0.651867:0.350898:0.651867:0.350898:0.635505:0.347102:0.635505:0.000000
cm:@0.414750:0.651867:0.436642:0.651867:0.436642:0.635505:0.414750:0.635505:0.000000:0.000000
l:@0.347102:0.677439:0.350898:0.677439:0.350898:0.661078:0.347102:0.661078:0.000000
cm:@0.437047:0.677439:0.458958:0.677439:0.458958:0.661078:0.437047:0.661078:0.000000:0.000000
l:@0.347102:0.703011:0.350898:0.703011:0.350898:0.686650:0.347102:0.686650:0.000000
cm:@0.398663:0.703011:0.420573:0.703011:0.420573:0.686650:0.398663:0.686650:0.000000:0.000000
l:@0.347102:0.728583:0.350898:0.728583:0.350898:0.712222:0.347102:0.712222:0.000000
cm:@0.422010:0.728583:0.443921:0.728583:0.443921:0.712222:0.422010:0.712222:0.000000:0.000000
22:@0.387459:0.622740:0.405241:0.622740:0.405241:0.606351:0.387459:0.606351:0.000000:0.000000
16:@0.468706:0.622740:0.486489:0.622740:0.486489:0.606351:0.468706:0.606351:0.000000:0.000000
740:@0.380604:0.651853:0.407176:0.651853:0.407176:0.635464:0.380604:0.635464:0.000000:0.000000:0.000000
2 185:@0.381027:0.677425:0.430266:0.677425:0.430266:0.661036:0.381027:0.661036:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.381765:0.702997:0.390757:0.702997:0.390757:0.686608:0.381765:0.686608:0.000000
185:@0.448362:0.702997:0.474935:0.702997:0.474935:0.686608:0.448362:0.686608:0.000000:0.000000:0.000000
2 185:@0.368533:0.728569:0.415266:0.728569:0.415266:0.712181:0.368533:0.712181:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.441014:0.611438:0.446226:0.611438:0.446226:0.601940:0.441014:0.601940:0.000000
2:@0.522628:0.611438:0.527840:0.611438:0.527840:0.601940:0.522628:0.601940:0.000000
2:@0.436880:0.644207:0.442092:0.644207:0.442092:0.634709:0.436880:0.634709:0.000000
2:@0.390135:0.669784:0.395347:0.669784:0.395347:0.660285:0.390135:0.660285:0.000000
2:@0.459190:0.669784:0.464401:0.669784:0.464401:0.660285:0.459190:0.660285:0.000000
2:@0.420818:0.695360:0.426029:0.695360:0.426029:0.685862:0.420818:0.685862:0.000000
 :@0.533781:0.732768:0.537816:0.732768:0.537816:0.716379:0.533781:0.716379:0.000000
          :@0.589038:0.732768:0.629394:0.732768:0.629394:0.716379:0.589038:0.716379:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.668237:0.626310:0.674374:0.626310:0.674374:0.601082:0.668237:0.601082:0.000000
) (:@0.722636:0.626310:0.756775:0.626310:0.756775:0.601082:0.722636:0.601082:0.000000:0.000000:0.000000
):@0.804245:0.626310:0.810381:0.626310:0.810381:0.601082:0.804245:0.601082:0.000000
=:@0.642743:0.622174:0.652860:0.622174:0.652860:0.606601:0.642743:0.606601:0.000000
+:@0.738180:0.622174:0.748297:0.622174:0.748297:0.606601:0.738180:0.606601:0.000000
=:@0.642743:0.651288:0.652860:0.651288:0.652860:0.635715:0.642743:0.635715:0.000000
=:@0.642743:0.676860:0.652860:0.676860:0.652860:0.661288:0.642743:0.661288:0.000000
⋅:@0.686712:0.676860:0.691319:0.676860:0.691319:0.661288:0.686712:0.661288:0.000000
=:@0.642743:0.702433:0.652860:0.702433:0.652860:0.686860:0.642743:0.686860:0.000000
⋅:@0.717652:0.702433:0.722259:0.702433:0.722259:0.686860:0.717652:0.686860:0.000000
=:@0.642743:0.728641:0.652860:0.728641:0.652860:0.713068:0.642743:0.713068:0.000000
L:@0.632019:0.621484:0.639648:0.621484:0.639648:0.605123:0.632019:0.605123:0.000000
cm:@0.700072:0.621484:0.721976:0.621496:0.721976:0.605135:0.700072:0.605123:0.000000:0.000000
cm:@0.781681:0.621496:0.803592:0.621496:0.803592:0.605135:0.781681:0.605135:0.000000:0.000000
L:@0.632012:0.650609:0.639641:0.650609:0.639641:0.634248:0.632012:0.634248:0.000000
cm:@0.710440:0.650609:0.732350:0.650609:0.732350:0.634248:0.710440:0.634248:0.000000:0.000000
L:@0.632012:0.676182:0.639641:0.676182:0.639641:0.659820:0.632012:0.659820:0.000000
cm:@0.708450:0.676182:0.730360:0.676182:0.730360:0.659820:0.708450:0.659820:0.000000:0.000000
L:@0.632012:0.701754:0.639641:0.701754:0.639641:0.685392:0.632012:0.685392:0.000000
cm:@0.685305:0.701754:0.707215:0.701754:0.707215:0.685392:0.685305:0.685392:0.000000:0.000000
L:@0.632012:0.727962:0.639641:0.727962:0.639641:0.711601:0.632012:0.711601:0.000000
cm:@0.701226:0.727962:0.723136:0.727962:0.723136:0.711601:0.701226:0.711601:0.000000:0.000000
32:@0.675114:0.621483:0.692897:0.621483:0.692897:0.605094:0.675114:0.605094:0.000000:0.000000
16:@0.756362:0.621483:0.774144:0.621483:0.774144:0.605094:0.756362:0.605094:0.000000:0.000000
1280:@0.667522:0.650595:0.702885:0.650595:0.702885:0.634207:0.667522:0.634207:0.000000:0.000000:0.000000:0.000000
25:@0.668664:0.676168:0.701687:0.676168:0.701687:0.659779:0.668664:0.659779:0.000000:0.000000
2:@0.668664:0.701740:0.677657:0.701740:0.677657:0.685351:0.668664:0.685351:0.000000
5:@0.736146:0.701740:0.745139:0.701740:0.745139:0.685351:0.736146:0.685351:0.000000
16 5:@0.655010:0.727948:0.694463:0.727948:0.694463:0.711559:0.655010:0.711559:0.000000:0.000000:0.000000:0.000000
2:@0.728651:0.610180:0.733863:0.610180:0.733863:0.600682:0.728651:0.600682:0.000000
2:@0.810265:0.610180:0.815477:0.610180:0.815477:0.600682:0.810265:0.600682:0.000000
2:@0.732578:0.642949:0.737790:0.642949:0.737790:0.633451:0.732578:0.633451:0.000000
8:@0.677770:0.668526:0.682982:0.668526:0.682982:0.659028:0.677770:0.659028:0.000000
2:@0.730592:0.668526:0.735803:0.668526:0.735803:0.659028:0.730592:0.659028:0.000000
8:@0.677770:0.694103:0.682982:0.694103:0.682982:0.684605:0.677770:0.684605:0.000000
2:@0.707449:0.694103:0.712661:0.694103:0.712661:0.684605:0.707449:0.684605:0.000000
Para  conocer  cuántas  veces  más  grande  es  un  lado  respecto  del  otro, debemos :@0.287495:0.756492:0.907685:0.756492:0.907685:0.740103:0.287495:0.740103:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dividir el lado mayor para el lado menor.:@0.287495:0.773088:0.581431:0.773088:0.581431:0.756699:0.287495:0.756699:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Reemplazamos  los valores  y aplicamos propiedades  hasta expresar la respuesta :@0.287495:0.796807:0.907724:0.796807:0.907724:0.780418:0.287495:0.780418:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
más simplificada.:@0.287495:0.813403:0.412472:0.813403:0.412472:0.797014:0.287495:0.797014:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.303775:0.851642:0.313892:0.851642:0.313892:0.836069:0.303775:0.836069:0.000000
=:@0.398530:0.851642:0.408647:0.851642:0.408647:0.836069:0.398530:0.836069:0.000000
=:@0.465902:0.851642:0.476019:0.851642:0.476019:0.836069:0.465902:0.836069:0.000000
=:@0.526418:0.851642:0.536535:0.851642:0.536535:0.836069:0.526418:0.836069:0.000000
=⋅:@0.588095:0.851642:0.617045:0.851642:0.617045:0.836069:0.588095:0.836069:0.000000:0.000000
=:@0.656370:0.851642:0.666487:0.851642:0.666487:0.836069:0.656370:0.836069:0.000000
L:@0.291595:0.842002:0.299224:0.842002:0.299224:0.825641:0.291595:0.825641:0.000000
l:@0.292958:0.861447:0.296754:0.861447:0.296754:0.845086:0.292958:0.845086:0.000000
cm:@0.367922:0.842002:0.389832:0.842002:0.389832:0.825641:0.367922:0.825641:0.000000:0.000000
cm:@0.372160:0.864628:0.394071:0.864628:0.394071:0.848267:0.372160:0.848267:0.000000:0.000000
16 5:@0.321687:0.842002:0.361141:0.842002:0.361141:0.825613:0.321687:0.825613:0.000000:0.000000:0.000000:0.000000
2 185:@0.318647:0.864628:0.365379:0.864628:0.365379:0.848239:0.318647:0.848239:0.000000:0.000000:0.000000:0.000000:0.000000
8:@0.411946:0.850950:0.420938:0.850950:0.420938:0.834561:0.411946:0.834561:0.000000
5:@0.443309:0.841988:0.452302:0.841988:0.452302:0.825599:0.443309:0.825599:0.000000
185:@0.433930:0.861433:0.460502:0.861433:0.460502:0.845045:0.433930:0.845045:0.000000:0.000000:0.000000
8:@0.479317:0.850936:0.488310:0.850936:0.488310:0.834547:0.479317:0.834547:0.000000
1:@0.507788:0.841974:0.516780:0.841974:0.516780:0.825585:0.507788:0.825585:0.000000
37:@0.502444:0.861420:0.520226:0.861420:0.520226:0.845031:0.502444:0.845031:0.000000:0.000000
8:@0.539815:0.850922:0.548808:0.850922:0.548808:0.834534:0.539815:0.834534:0.000000
1:@0.569502:0.841960:0.578495:0.841960:0.578495:0.825571:0.569502:0.825571:0.000000
37:@0.564103:0.862111:0.581885:0.862111:0.581885:0.845722:0.564103:0.845722:0.000000:0.000000
8:@0.601474:0.850909:0.610467:0.850909:0.610467:0.834520:0.601474:0.834520:0.000000
1:@0.632211:0.841947:0.641204:0.841947:0.641204:0.825558:0.632211:0.825558:0.000000
37:@0.632377:0.862097:0.650160:0.862097:0.650160:0.845708:0.632377:0.845708:0.000000:0.000000
8:@0.682629:0.841947:0.691622:0.841947:0.691622:0.825558:0.682629:0.825558:0.000000
37:@0.683735:0.862097:0.701518:0.862097:0.701518:0.845708:0.683735:0.845708:0.000000:0.000000
El lado del triángulo más grande es :@0.287485:0.893229:0.556529:0.893229:0.556529:0.876840:0.287485:0.876840:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8:@0.570140:0.883080:0.579133:0.883080:0.579133:0.866692:0.570140:0.866692:0.000000
37:@0.571241:0.903236:0.589023:0.903236:0.589023:0.886847:0.571241:0.886847:0.000000:0.000000
 cm más grande que el lado del triángulo :@0.591327:0.893292:0.907674:0.893292:0.907674:0.876903:0.591327:0.876903:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pequeño.:@0.287511:0.910898:0.357884:0.910898:0.357884:0.894509:0.287511:0.894509:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
32 cm:@0.092818:0.347199:0.123026:0.347199:0.123026:0.336444:0.092818:0.336444:0.000000:0.000000:0.000000:0.000000:0.000000
32 cm:@0.136946:0.347199:0.167154:0.347199:0.167154:0.336444:0.136946:0.336444:0.000000:0.000000:0.000000:0.000000:0.000000
22 cm:@0.056771:0.384656:0.086978:0.384656:0.086978:0.373901:0.056771:0.373901:0.000000:0.000000:0.000000:0.000000:0.000000
32 cm:@0.097110:0.400472:0.127318:0.400472:0.127318:0.389717:0.097110:0.389717:0.000000:0.000000:0.000000:0.000000:0.000000
16 :@0.444973:0.581785:0.463639:0.581785:0.463639:0.568183:0.444973:0.568183:0.000000:0.000000:0.000000
cm:@0.463639:0.581785:0.482198:0.581785:0.482198:0.568172:0.463639:0.568172:0.000000:0.000000
l:@0.476586:0.527250:0.480173:0.527250:0.480173:0.513108:0.476586:0.513108:0.000000
22 :@0.448608:0.560412:0.448608:0.546403:0.430486:0.546403:0.430486:0.560412:0.000000:0.000000:0.000000
cm:@0.448608:0.546403:0.448608:0.532473:0.430470:0.532473:0.430470:0.546403:0.000000:0.000000
16 :@0.733123:0.581785:0.751788:0.581785:0.751788:0.568183:0.733123:0.568183:0.000000:0.000000:0.000000
cm:@0.751788:0.581785:0.770348:0.581785:0.770348:0.568172:0.751788:0.568172:0.000000:0.000000
L:@0.765996:0.520272:0.772919:0.520272:0.772919:0.506130:0.765996:0.506130:0.000000
32 :@0.714836:0.558193:0.714836:0.544184:0.696713:0.544184:0.696713:0.558193:0.000000:0.000000:0.000000
cm:@0.714836:0.544184:0.714836:0.530254:0.696698:0.530254:0.696698:0.544184:0.000000:0.000000
Respeta y entiende :@0.116807:0.214978:0.248381:0.214978:0.248381:0.200079:0.116807:0.200079:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el criterio y los puntos :@0.098212:0.230066:0.248377:0.230066:0.248377:0.215167:0.098212:0.215167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de vista de tus :@0.148805:0.245154:0.248381:0.245154:0.248381:0.230255:0.148805:0.230255:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
compañeros cuando :@0.106086:0.260241:0.248379:0.260241:0.248379:0.245342:0.106086:0.245342:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
trabajes en grupo. :@0.124145:0.275329:0.248379:0.275329:0.248379:0.260430:0.124145:0.260430:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
        Socioemocional:@0.094701:0.182537:0.244345:0.182537:0.244345:0.165637:0.094701:0.165637:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©:@0.078898:0.867716:0.078898:0.862609:0.066816:0.862609:0.066816:0.867716:0.000000
Shutterstock:@0.078898:0.862609:0.078898:0.824891:0.066987:0.824891:0.066987:0.862609:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Como muestra :@0.145335:0.592722:0.248379:0.592722:0.248379:0.577823:0.145335:0.577823:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de identidad, las ciudades :@0.072026:0.607809:0.248377:0.607809:0.248377:0.592910:0.072026:0.592910:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se embanderan :@0.140225:0.622897:0.248379:0.622897:0.248379:0.607998:0.140225:0.607998:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a propósito de las fechas :@0.080402:0.637985:0.248377:0.637985:0.248377:0.623086:0.080402:0.623086:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cívicas. Los municipios, :@0.092179:0.653072:0.248377:0.653072:0.248377:0.638173:0.092179:0.638173:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a través de ordenanzas, :@0.089599:0.668160:0.248377:0.668160:0.248377:0.653261:0.089599:0.653261:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
obligan a los propietarios :@0.076181:0.683248:0.248375:0.683248:0.248375:0.668349:0.076181:0.668349:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de las viviendas a cumplir :@0.074237:0.698335:0.248379:0.698335:0.248379:0.683436:0.074237:0.683436:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con esta actividad, que :@0.091509:0.713423:0.248377:0.713423:0.248377:0.698524:0.091509:0.698524:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
suma colorido a los :@0.115482:0.728510:0.248377:0.728510:0.248377:0.713611:0.115482:0.713611:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
desfiles que se presentan.:@0.073768:0.743598:0.244706:0.743598:0.244706:0.728699:0.073768:0.728699:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  Cívica:@0.155344:0.559998:0.207443:0.559998:0.207443:0.543097:0.155344:0.543097:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.1.36. :@0.290067:0.954959:0.338404:0.954959:0.338404:0.944205:0.290067:0.944205:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Reescribir expresiones numéricas o algebraicas con raíces en el denominador utilizando propiedades :@0.338404:0.954959:0.811397:0.954959:0.811397:0.944530:0.338404:0.944530:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en R (racionalización).:@0.290067:0.965521:0.390858:0.965521:0.390858:0.955091:0.290067:0.955091:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.1.63.:@0.271385:0.231903:0.271385:0.201750:0.257489:0.201750:0.257489:0.231903:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000