27:@0.942772:0.974518:0.963274:0.974518:0.963274:0.956333:0.942772:0.956333:0.000000:0.000000
Pensamiento numérico y variacional :@0.603816:0.043660:0.930949:0.043660:0.930949:0.024915:0.603816:0.024915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tema 4. Números reales con exponentes racionales:@0.073089:0.098522:0.826207:0.098522:0.826207:0.067281:0.073089:0.067281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Reto matemático:@0.305481:0.139193:0.427956:0.139193:0.427956:0.123786:0.305481:0.123786:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cuál es la operación contraria a la potenciación? ¿En qué se aplica?:@0.294845:0.168106:0.789996:0.168106:0.789996:0.151673:0.294845:0.151673:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un exponente racional se escribe en forma de fracción y su uso ayuda a resolver un :@0.073682:0.211514:0.710389:0.211514:0.710389:0.195080:0.073682:0.195080:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sinnúmero de problemas de forma ágil y fácil. Veamos en qué consiste.:@0.073682:0.228156:0.590863:0.228156:0.590863:0.211722:0.073682:0.211722:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La velocidad del sonido en los sólidos está dada por la expresión:@0.073682:0.265558:0.546085:0.265558:0.546085:0.249124:0.073682:0.249124:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.546104:0.269344:0.550135:0.269344:0.550135:0.252910:0.546104:0.252910:0.000000
v:@0.555927:0.264837:0.563415:0.264837:0.568108:0.250696:0.560620:0.250696:0.000000
s:@0.565446:0.266647:0.569027:0.266647:0.571746:0.258451:0.568165:0.258451:0.000000
=:@0.574563:0.265450:0.583658:0.265450:0.583658:0.251396:0.574563:0.251396:0.000000
E:@0.591883:0.257215:0.599603:0.257215:0.604296:0.243073:0.596576:0.243073:0.000000
1:@0.612450:0.242500:0.617136:0.242500:0.617136:0.234304:0.612450:0.234304:0.000000
2:@0.612076:0.252533:0.616761:0.252533:0.616761:0.244337:0.612076:0.244337:0.000000
, donde E es :@0.617778:0.265558:0.710367:0.265558:0.710367:0.249124:0.617778:0.249124:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el módulo de Young y   es la densidad. De esta manera, se puede calcular la velocidad :@0.073678:0.295819:0.710367:0.295819:0.710367:0.279385:0.073678:0.279385:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ρ:@0.239364:0.296401:0.248568:0.296401:0.248568:0.278747:0.239364:0.278747:0.000000
del sonido en el acero, que es aproximadamente de 5148  / . ¿Cuál es el significado del :@0.073678:0.312461:0.710365:0.312461:0.710365:0.296027:0.073678:0.296027:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m s:@0.488944:0.312461:0.516389:0.312461:0.516389:0.296054:0.488944:0.296054:0.000000:0.000000:0.000000
exponente de la expresión :@0.073678:0.343650:0.272455:0.343650:0.272455:0.327216:0.073678:0.327216:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
E:@0.284117:0.335744:0.292534:0.335744:0.297650:0.320327:0.289234:0.320327:0.000000
1:@0.306542:0.319701:0.311650:0.319701:0.311650:0.310766:0.306542:0.310766:0.000000
2:@0.306134:0.330639:0.311242:0.330639:0.311242:0.321704:0.306134:0.321704:0.000000
?:@0.316331:0.343644:0.323344:0.343644:0.323344:0.327210:0.316331:0.327210:0.000000
Definición de raíz n-ésima  :@0.083167:0.384883:0.308875:0.384883:0.308875:0.367700:0.083167:0.367700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.301953:0.384883:0.305156:0.384883:0.305156:0.368449:0.301953:0.368449:0.000000
Si   es cualquier entero positivo, entonces, la raíz :@0.311378:0.384883:0.692958:0.384883:0.692958:0.368449:0.311378:0.368449:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.330503:0.384883:0.340001:0.384883:0.340001:0.368477:0.330503:0.368477:0.000000
n-ésima principal de   se define como :@0.083165:0.401525:0.364722:0.401525:0.364722:0.385091:0.083165:0.385091:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.235466:0.401525:0.244725:0.401525:0.244725:0.385119:0.235466:0.385119:0.000000
a:@0.376213:0.402074:0.385472:0.402074:0.385472:0.385668:0.376213:0.385668:0.000000
n:@0.365318:0.395215:0.370822:0.395215:0.370822:0.385707:0.365318:0.385707:0.000000
=  . Si se cumple que   =  , la operación:@0.394370:0.401525:0.693949:0.401525:0.693949:0.385091:0.394370:0.385091:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.408893:0.401525:0.418152:0.401525:0.418152:0.385119:0.408893:0.385119:0.000000
b:@0.552028:0.401525:0.561287:0.401525:0.561287:0.385119:0.552028:0.385119:0.000000
n:@0.562947:0.395461:0.568699:0.395461:0.568699:0.385880:0.562947:0.385880:0.000000
a:@0.587739:0.401525:0.596998:0.401525:0.596998:0.385119:0.587739:0.385119:0.000000
a:@0.095314:0.426460:0.104573:0.426460:0.104573:0.410054:0.095314:0.410054:0.000000
n:@0.084419:0.419602:0.089924:0.419602:0.089924:0.410094:0.084419:0.410094:0.000000
 se puede escribir como  .:@0.105548:0.426144:0.304793:0.426144:0.304793:0.409711:0.105548:0.409711:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.285015:0.427720:0.294274:0.427720:0.294274:0.411314:0.285015:0.411314:0.000000
n:@0.295892:0.422051:0.301397:0.422051:0.301397:0.412542:0.295892:0.412542:0.000000
1:@0.296306:0.410829:0.301512:0.410829:0.301512:0.401722:0.296306:0.401722:0.000000
Si   es un número natural par, entonces   ≥ 0 y   ≥ 0.:@0.087198:0.449935:0.475698:0.449935:0.475698:0.433501:0.087198:0.433501:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.103617:0.449935:0.113741:0.449935:0.113741:0.432988:0.103617:0.432988:0.000000
a:@0.381784:0.449935:0.391043:0.449935:0.391043:0.433529:0.381784:0.433529:0.000000
b:@0.435220:0.449935:0.444479:0.449935:0.444479:0.433529:0.435220:0.433529:0.000000
Ejemplo 1:@0.073687:0.484633:0.150059:0.484633:0.150059:0.467963:0.073687:0.467963:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.140582:0.512410:0.150688:0.512410:0.150688:0.496794:0.140582:0.496794:0.000000
=:@0.266985:0.512410:0.277090:0.512410:0.277090:0.496794:0.266985:0.496794:0.000000
−:@0.394565:0.512410:0.404671:0.512410:0.404671:0.496794:0.394565:0.496794:0.000000
=−:@0.426981:0.512410:0.449750:0.512410:0.449750:0.496794:0.426981:0.496794:0.000000:0.000000
−:@0.533154:0.512410:0.543259:0.512410:0.543259:0.496794:0.533154:0.496794:0.000000
=−:@0.567299:0.512410:0.590069:0.512410:0.590069:0.496794:0.567299:0.496794:0.000000:0.000000
−:@0.113910:0.536221:0.124016:0.536221:0.124016:0.520606:0.113910:0.520606:0.000000
121 11,porque11:@0.112769:0.511730:0.257799:0.511730:0.257799:0.496017:0.112769:0.496017:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
121,:@0.278471:0.511730:0.305677:0.511730:0.305677:0.496017:0.278471:0.496017:0.000000:0.000000:0.000000:0.000000
64:@0.404505:0.511730:0.422268:0.511730:0.422268:0.496017:0.404505:0.496017:0.000000:0.000000
4,porque( 4):@0.449585:0.511730:0.559402:0.511730:0.559402:0.496017:0.449585:0.496017:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
64,:@0.589885:0.511730:0.611753:0.511730:0.611753:0.496017:0.589885:0.496017:0.000000:0.000000:0.000000
4=:@0.123850:0.535542:0.150356:0.535542:0.150356:0.519829:0.123850:0.519829:0.000000:0.000000
2:@0.257809:0.504048:0.263015:0.504048:0.263015:0.494942:0.257809:0.494942:0.000000
3:@0.384159:0.504868:0.389365:0.504868:0.389365:0.495762:0.384159:0.495762:0.000000
3:@0.562014:0.504048:0.567220:0.504048:0.567220:0.494942:0.562014:0.494942:0.000000
Si miramos el ejemplo inicial, la expresión :@0.073680:0.578107:0.403022:0.578107:0.403022:0.561673:0.073680:0.561673:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.406218:0.578990:0.414538:0.578990:0.419752:0.563277:0.411432:0.563277:0.000000
s:@0.416794:0.580999:0.420773:0.580999:0.423795:0.571893:0.419815:0.571893:0.000000
=:@0.426925:0.579669:0.437031:0.579669:0.437031:0.564054:0.426925:0.564054:0.000000
E:@0.446170:0.570520:0.454748:0.570520:0.459962:0.554807:0.451384:0.554807:0.000000
1:@0.469023:0.554169:0.474229:0.554169:0.474229:0.545063:0.469023:0.545063:0.000000
2:@0.468607:0.565317:0.473813:0.565317:0.473813:0.556210:0.468607:0.556210:0.000000
 es igual a :@0.478645:0.578107:0.565858:0.578107:0.565858:0.561673:0.478645:0.561673:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.589341:0.579152:0.600667:0.579152:0.600667:0.561651:0.589341:0.561651:0.000000
:@0.619997:0.590840:0.630311:0.590840:0.630311:0.571055:0.619997:0.571055:0.000000
v:@0.569531:0.578391:0.578196:0.578391:0.578196:0.560004:0.569531:0.560004:0.000000
E:@0.619991:0.568319:0.629089:0.568319:0.629089:0.549932:0.619991:0.549932:0.000000
s:@0.579319:0.580643:0.583456:0.580643:0.583456:0.569987:0.579319:0.569987:0.000000
, es decir, :@0.633120:0.578107:0.710375:0.578107:0.710375:0.561673:0.633120:0.561673:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.706344:0.578107:0.710375:0.578107:0.710375:0.561673:0.706344:0.561673:0.000000
 el exponente fraccionario — implica que es una raíz cuadrada.:@0.073687:0.609629:0.534457:0.609629:0.534457:0.593196:0.073687:0.593196:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.273663:0.600698:0.282646:0.600698:0.282646:0.584265:0.273663:0.584265:0.000000
2:@0.273663:0.620031:0.282646:0.620031:0.282646:0.603597:0.273663:0.603597:0.000000
Propiedades de las raíces n-ésimas:@0.371469:0.647509:0.627948:0.647509:0.627948:0.631888:0.371469:0.631888:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Propiedad:@0.236604:0.670747:0.314266:0.670747:0.314266:0.655126:0.236604:0.655126:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Notación:@0.555050:0.670747:0.622772:0.670747:0.622772:0.655126:0.555050:0.655126:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplos :@0.778949:0.670747:0.850804:0.670747:0.850804:0.655126:0.778949:0.655126:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Producto de radicales del mismo índice. :@0.080410:0.701131:0.359980:0.701131:0.359980:0.685976:0.080410:0.685976:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Multiplicamos :@0.359980:0.701131:0.458024:0.701131:0.458024:0.686191:0.359980:0.686191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los radicandos y dejamos el mismo índice.:@0.080410:0.716260:0.360212:0.716260:0.360212:0.701320:0.080410:0.701320:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.512077:0.720113:0.521760:0.720113:0.521760:0.702957:0.512077:0.702957:0.000000
b:@0.544724:0.720113:0.554407:0.720113:0.554407:0.702957:0.544724:0.702957:0.000000
ab:@0.586881:0.720113:0.606188:0.720113:0.606188:0.702957:0.586881:0.702957:0.000000:0.000000
n:@0.500703:0.712955:0.506460:0.712955:0.506460:0.703012:0.500703:0.703012:0.000000
n:@0.533736:0.712955:0.539493:0.712955:0.539493:0.703012:0.533736:0.703012:0.000000
n:@0.575515:0.712955:0.581272:0.712955:0.581272:0.703012:0.575515:0.703012:0.000000
⋅:@0.525421:0.720824:0.530233:0.720824:0.530233:0.704494:0.525421:0.704494:0.000000
=:@0.559435:0.720824:0.570003:0.720824:0.570003:0.704494:0.559435:0.704494:0.000000
−:@0.734964:0.701983:0.745070:0.701983:0.745070:0.686367:0.734964:0.686367:0.000000
⋅:@0.764618:0.701983:0.769220:0.701983:0.769220:0.686367:0.764618:0.686367:0.000000
=−:@0.793794:0.701983:0.830148:0.701983:0.830148:0.686367:0.793794:0.686367:0.000000:0.000000
⋅:@0.851159:0.701983:0.855761:0.701983:0.855761:0.686367:0.851159:0.686367:0.000000
=:@0.892833:0.701983:0.902939:0.701983:0.902939:0.686367:0.892833:0.686367:0.000000
−⋅ =:@0.802472:0.722771:0.854877:0.722771:0.854877:0.707156:0.802472:0.707156:0.000000:0.000000:0.000000:0.000000
−:@0.859516:0.722771:0.869621:0.722771:0.869621:0.707156:0.859516:0.707156:0.000000
27 64:@0.744899:0.701303:0.788708:0.701303:0.788708:0.685591:0.744899:0.685591:0.000000:0.000000:0.000000:0.000000:0.000000
27:@0.829977:0.701303:0.847740:0.701303:0.847740:0.685591:0.829977:0.685591:0.000000:0.000000
64:@0.869976:0.701303:0.887739:0.701303:0.887739:0.685591:0.869976:0.685591:0.000000:0.000000
34:@0.815338:0.722095:0.841164:0.722095:0.841164:0.706383:0.815338:0.706383:0.000000:0.000000
12:@0.870196:0.722045:0.887993:0.722145:0.888149:0.706433:0.870352:0.706333:0.000000:0.000000
3:@0.724191:0.694438:0.729397:0.694438:0.729397:0.685332:0.724191:0.685332:0.000000
3:@0.809277:0.694438:0.814483:0.694438:0.814483:0.685332:0.809277:0.685332:0.000000
3:@0.859214:0.694438:0.864420:0.694438:0.864420:0.685332:0.859214:0.685332:0.000000
Cociente de radicales del mismo índice. :@0.080413:0.767668:0.357405:0.767668:0.357405:0.752513:0.080413:0.752513:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dividimos los :@0.357405:0.767668:0.450262:0.767668:0.450262:0.752728:0.357405:0.752728:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
radicandos y dejamos el mismo índice.:@0.080413:0.782797:0.337859:0.782797:0.337859:0.767857:0.080413:0.767857:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.517166:0.779250:0.526849:0.779250:0.526849:0.762093:0.517166:0.762093:0.000000
b:@0.517002:0.800386:0.526685:0.800386:0.526685:0.783230:0.517002:0.783230:0.000000
a:@0.562393:0.779250:0.572075:0.779250:0.572075:0.762093:0.562393:0.762093:0.000000
b:@0.562173:0.799644:0.571856:0.799644:0.571856:0.782487:0.562173:0.782487:0.000000
n:@0.505792:0.772081:0.511548:0.772081:0.511548:0.762138:0.505792:0.762138:0.000000
n:@0.506015:0.793220:0.511772:0.793220:0.511772:0.783277:0.506015:0.783277:0.000000
n:@0.549434:0.784445:0.555191:0.784445:0.555191:0.774502:0.549434:0.774502:0.000000
=:@0.533408:0.789354:0.543976:0.789354:0.543976:0.773024:0.533408:0.773024:0.000000
Potencia de radicales. :@0.080413:0.839957:0.233744:0.839957:0.233744:0.824803:0.080413:0.824803:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Elevamos el radicando a la :@0.233745:0.839957:0.413132:0.839957:0.413132:0.825018:0.233745:0.825018:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
potencia y se deja el índice de la raíz.:@0.080412:0.855086:0.325061:0.855086:0.325061:0.840147:0.080412:0.840147:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.519870:0.858458:0.529488:0.858458:0.529488:0.841416:0.519870:0.841416:0.000000
a:@0.579470:0.858458:0.589088:0.858458:0.589088:0.841416:0.579470:0.841416:0.000000
n:@0.508572:0.851347:0.514290:0.851347:0.514290:0.841470:0.508572:0.841470:0.000000
m:@0.538281:0.845369:0.547080:0.845369:0.547080:0.835492:0.538281:0.835492:0.000000
m:@0.589666:0.850487:0.598465:0.850487:0.598465:0.840610:0.589666:0.840610:0.000000
n:@0.568157:0.850612:0.573875:0.850612:0.573875:0.840735:0.568157:0.840735:0.000000
( ):@0.499391:0.865078:0.538398:0.865078:0.538398:0.835718:0.499391:0.835718:0.000000:0.000000:0.000000
=:@0.552190:0.859164:0.562687:0.859164:0.562687:0.842943:0.552190:0.842943:0.000000
Raíz de una raíz. :@0.080413:0.904682:0.189652:0.904682:0.189652:0.889528:0.080413:0.889528:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Obtenemos otra raíz cuyo índice es el :@0.189314:0.904682:0.431054:0.904682:0.431054:0.889742:0.189314:0.889742:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
producto del índice de las raíces y el mismo radicando.:@0.080410:0.919811:0.426550:0.919811:0.426550:0.904871:0.080410:0.904871:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ab:@0.515891:0.899021:0.542250:0.899021:0.542250:0.883585:0.515891:0.883585:0.000000:0.000000
mn:@0.591029:0.899021:0.631488:0.899021:0.631488:0.883585:0.591029:0.883585:0.000000:0.000000
a:@0.527856:0.925814:0.537114:0.925814:0.537114:0.910379:0.527856:0.910379:0.000000
a:@0.583961:0.925814:0.593220:0.925814:0.593220:0.910379:0.583961:0.910379:0.000000
,:@0.529954:0.899021:0.533157:0.899021:0.533157:0.883308:0.529954:0.883308:0.000000
;:@0.576543:0.899021:0.579746:0.899021:0.579746:0.883308:0.576543:0.883308:0.000000
y:@0.610118:0.899021:0.618217:0.899021:0.618217:0.883308:0.610118:0.883308:0.000000
m:@0.515315:0.918946:0.523786:0.918946:0.523786:0.910001:0.515315:0.910001:0.000000
n:@0.504477:0.918448:0.509981:0.918448:0.509981:0.909502:0.504477:0.909502:0.000000
nm:@0.564078:0.918946:0.580112:0.918946:0.580112:0.910001:0.564078:0.910001:0.000000:0.000000
∀:@0.502869:0.899700:0.515993:0.899700:0.515993:0.884084:0.502869:0.884084:0.000000
∈:@0.545224:0.899700:0.558348:0.899700:0.558348:0.884084:0.545224:0.884084:0.000000
∈:@0.639138:0.899700:0.652262:0.899700:0.652262:0.884084:0.639138:0.884084:0.000000
=:@0.543383:0.926493:0.553489:0.926493:0.553489:0.910878:0.543383:0.910878:0.000000
+:@0.669110:0.891721:0.674966:0.891721:0.674966:0.882671:0.669110:0.882671:0.000000
⋅:@0.569397:0.919337:0.572064:0.919337:0.572064:0.910287:0.569397:0.910287:0.000000
Competencia :@0.740294:0.228220:0.838985:0.228220:0.838985:0.212814:0.740294:0.212814:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.740294:0.243349:0.828908:0.243349:0.828908:0.227943:0.740294:0.227943:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.747032:0.318213:0.783833:0.318213:0.783833:0.290514:0.747032:0.290514:0.000000:0.000000:0.000000
∀∈:@0.747802:0.269554:0.790591:0.269554:0.790591:0.254251:0.747802:0.254251:0.000000:0.000000
∈:@0.835742:0.269554:0.848604:0.269554:0.848604:0.254251:0.835742:0.254251:0.000000
=:@0.793981:0.312650:0.803885:0.312650:0.803885:0.297347:0.793981:0.297347:0.000000
= :@0.781372:0.349060:0.804137:0.351194:0.804137:0.335891:0.781372:0.333757:0.000000:0.000000:0.000000
:@0.795226:0.338962:0.804137:0.338962:0.804137:0.323659:0.795226:0.323659:0.000000
:@0.795226:0.363439:0.804137:0.363439:0.804137:0.348136:0.795226:0.348136:0.000000
a:@0.760562:0.268888:0.769635:0.268888:0.769635:0.252810:0.760562:0.252810:0.000000
a:@0.766353:0.311980:0.775427:0.311980:0.775427:0.295902:0.766353:0.295902:0.000000
a:@0.807446:0.311980:0.816520:0.311980:0.816520:0.295902:0.807446:0.295902:0.000000
a:@0.760040:0.348390:0.769113:0.348390:0.769113:0.332312:0.760040:0.332312:0.000000
a:@0.807338:0.358597:0.816412:0.358597:0.816412:0.342519:0.807338:0.342519:0.000000
,n:@0.812510:0.268888:0.828890:0.268888:0.828890:0.252783:0.812510:0.252783:0.000000:0.000000
entonces::@0.748567:0.285479:0.816538:0.285479:0.816538:0.269374:0.748567:0.269374:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.804181:0.337124:0.813255:0.337124:0.813255:0.321047:0.804181:0.321047:0.000000
si , es impar:@0.818793:0.337124:0.909764:0.337124:0.909764:0.321019:0.818793:0.321019:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n  :@0.832629:0.337124:0.848323:0.337124:0.848323:0.321047:0.832629:0.321047:0.000000:0.000000:0.000000
,sin es par.:@0.820976:0.358598:0.901665:0.358598:0.901665:0.342493:0.820976:0.342493:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.755694:0.305272:0.761088:0.305272:0.761088:0.295954:0.755694:0.295954:0.000000
n:@0.783931:0.299632:0.789326:0.299632:0.789326:0.290314:0.783931:0.290314:0.000000
n:@0.769891:0.340858:0.775286:0.340858:0.775286:0.331540:0.769891:0.331540:0.000000
n:@0.749390:0.340984:0.754784:0.340984:0.754784:0.331666:0.749390:0.331666:0.000000
no está definido  , el cuadrado de cualquier número real es positivo.:@0.154202:0.536013:0.657747:0.536013:0.657747:0.519579:0.154202:0.519579:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ:@0.277162:0.536596:0.290452:0.536596:0.290452:0.518942:0.277162:0.518942:0.000000
a.:@0.074277:0.512077:0.085764:0.512077:0.085764:0.495643:0.074277:0.495643:0.000000:0.000000
b.:@0.074277:0.536790:0.087236:0.536790:0.087236:0.520356:0.074277:0.520356:0.000000:0.000000
c.:@0.360473:0.512424:0.371610:0.512424:0.371610:0.495990:0.360473:0.495990:0.000000:0.000000
DBA 2 (Ev. 2) Establece conjeturas al resolver una situación problema, apoyado en propiedades y relaciones entre números reales.:@0.083509:0.971336:0.762942:0.971336:0.762942:0.959384:0.083509:0.959384:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Radical:@0.165467:0.133368:0.193067:0.133368:0.193067:0.125026:0.165467:0.125026:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Índice:@0.123367:0.153801:0.146812:0.153801:0.146812:0.145459:0.123367:0.145459:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Raíz:@0.209271:0.176816:0.224876:0.176816:0.224876:0.168473:0.209271:0.168473:0.000000:0.000000:0.000000:0.000000
Radicando:@0.157158:0.176816:0.197949:0.176816:0.197949:0.168473:0.157158:0.168473:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.168595:0.147903:0.172884:0.147903:0.172884:0.140332:0.168595:0.140332:0.000000
64 = 4:@0.177363:0.155358:0.218856:0.155358:0.218856:0.140674:0.177363:0.140674:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000