30:@0.058599:0.966558:0.074760:0.966558:0.074760:0.950778:0.058599:0.950778:0.000000:0.000000
La raíz cuadrada:@0.404235:0.120539:0.614712:0.120539:0.614712:0.075879:0.404235:0.075879:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.1.3. Transformar raíces n-ésimas de un número real en potencias con exponentes racionales para simplificar expresiones numéricas y algebraicas.:@0.143847:0.945632:0.782992:0.945632:0.782992:0.935589:0.143847:0.935589:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definición. :@0.404236:0.162908:0.492450:0.162908:0.492450:0.145962:0.404236:0.145962:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea      con   ≥ 0. La raíz cuadrada de   se denota con :@0.491835:0.162445:0.895903:0.162445:0.895903:0.145947:0.491835:0.145947:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 a:@0.515955:0.162561:0.528449:0.162561:0.528449:0.146092:0.515955:0.146092:0.000000:0.000000
:@0.531965:0.162228:0.548013:0.162228:0.548013:0.147581:0.531965:0.147581:0.000000
R:@0.551519:0.161476:0.565429:0.161476:0.565429:0.148030:0.551519:0.148030:0.000000
a:@0.599420:0.162561:0.608398:0.162561:0.608398:0.146092:0.599420:0.146092:0.000000
a:@0.779639:0.162561:0.788617:0.162561:0.788617:0.146092:0.779639:0.146092:0.000000
 :@0.891761:0.162445:0.895903:0.162445:0.895903:0.145947:0.891761:0.145947:0.000000
a:@0.414182:0.180838:0.422379:0.180838:0.422379:0.165802:0.414182:0.165802:0.000000
, que se lee “raíz cuadrada de  ”, y es un número real no negativo  , :@0.425644:0.179796:0.896023:0.179796:0.896023:0.163298:0.425644:0.163298:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.630128:0.179912:0.639105:0.179912:0.639105:0.163443:0.630128:0.163443:0.000000
b:@0.879859:0.179912:0.889126:0.179912:0.889126:0.163443:0.879859:0.163443:0.000000
tal que   = :@0.404240:0.200111:0.490834:0.200115:0.490834:0.183617:0.404240:0.183613:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.457528:0.200226:0.466795:0.200226:0.466795:0.183758:0.457528:0.183758:0.000000
2:@0.466790:0.193762:0.471743:0.193762:0.471743:0.184144:0.466790:0.184144:0.000000
a:@0.504097:0.199187:0.512294:0.199187:0.512294:0.184151:0.504097:0.184151:0.000000
2:@0.518878:0.188733:0.523831:0.188733:0.523831:0.179115:0.518878:0.179115:0.000000
 =  . Este número es único.:@0.523832:0.200115:0.714324:0.200115:0.714324:0.183617:0.523832:0.183617:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.542923:0.200231:0.551901:0.200231:0.551901:0.183762:0.542923:0.183762:0.000000
Ejercicios resueltos:@0.404233:0.235193:0.534888:0.235193:0.534888:0.218406:0.404233:0.218406:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i):@0.404233:0.252384:0.414771:0.252384:0.414771:0.235670:0.404233:0.235670:0.000000:0.000000
  Si   = 9, entonces   =  9  = 3, se verifica que   = 3  = 9 =  .:@0.414771:0.252167:0.849009:0.252167:0.849009:0.235670:0.414771:0.235670:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.443919:0.252283:0.451394:0.252283:0.451394:0.235814:0.443919:0.235814:0.000000
b:@0.554733:0.252283:0.564000:0.252283:0.564000:0.235814:0.554733:0.235814:0.000000
b:@0.745332:0.252279:0.754599:0.252279:0.754599:0.235811:0.745332:0.235811:0.000000
2:@0.754606:0.245814:0.759559:0.245814:0.759559:0.236196:0.754606:0.236196:0.000000
2:@0.787146:0.245814:0.792099:0.245814:0.792099:0.236196:0.787146:0.236196:0.000000
x:@0.838779:0.252283:0.846254:0.252283:0.846254:0.235814:0.838779:0.235814:0.000000
ii):@0.404232:0.283399:0.419028:0.283399:0.419028:0.266684:0.404232:0.266684:0.000000:0.000000:0.000000
  Si   = 0,0625, entonces   = (0,0625)  = 0,25, se verifica que :@0.419028:0.283182:0.895946:0.283180:0.895946:0.266682:0.419028:0.266684:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.448272:0.283298:0.455747:0.283298:0.455747:0.266829:0.448272:0.266829:0.000000
a:@0.613241:0.283298:0.622218:0.283298:0.622218:0.266829:0.613241:0.266829:0.000000
1:@0.709172:0.267374:0.713383:0.267374:0.713383:0.258781:0.709172:0.258781:0.000000
2:@0.709172:0.277430:0.713383:0.277430:0.713383:0.268837:0.709172:0.268837:0.000000
a:@0.427975:0.300646:0.436953:0.300646:0.436953:0.284178:0.427975:0.284178:0.000000
2:@0.436957:0.294178:0.441910:0.294178:0.441910:0.284560:0.436957:0.284560:0.000000
 = (0,25)  = 0,0625 =  .:@0.441911:0.300531:0.599751:0.300531:0.599751:0.284033:0.441911:0.284033:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.501149:0.294178:0.506102:0.294178:0.506102:0.284560:0.501149:0.284560:0.000000
x:@0.589521:0.300646:0.596996:0.300646:0.596996:0.284178:0.589521:0.284178:0.000000
iii):@0.404228:0.331762:0.423281:0.331762:0.423281:0.315048:0.404228:0.315048:0.000000:0.000000:0.000000:0.000000
 Si   = 1, entonces   = 1  =  1  = 1, se verifica que   = 1  = 1 =  .:@0.423281:0.331545:0.884328:0.331543:0.884328:0.315046:0.423281:0.315048:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.443914:0.331661:0.451389:0.331661:0.451389:0.315192:0.443914:0.315192:0.000000
a:@0.554728:0.331661:0.563706:0.331661:0.563706:0.315192:0.554728:0.315192:0.000000
1:@0.593357:0.315737:0.597569:0.315737:0.597569:0.307145:0.593357:0.307145:0.000000
2:@0.593357:0.325793:0.597569:0.325793:0.597569:0.317201:0.593357:0.317201:0.000000
a:@0.780939:0.331654:0.789917:0.331654:0.789917:0.315185:0.780939:0.315185:0.000000
2:@0.789925:0.325190:0.794878:0.325190:0.794878:0.315572:0.789925:0.315572:0.000000
2:@0.822465:0.325190:0.827418:0.325190:0.827418:0.315572:0.822465:0.315572:0.000000
x:@0.874098:0.331659:0.881573:0.331659:0.881573:0.315190:0.874098:0.315190:0.000000
iv):@0.404238:0.360056:0.423041:0.360056:0.423041:0.343342:0.404238:0.343342:0.000000:0.000000:0.000000
 Sean :@0.423041:0.359840:0.465771:0.359840:0.465771:0.343342:0.423041:0.343342:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m, n:@0.465867:0.359955:0.496807:0.359955:0.496807:0.343486:0.465867:0.343486:0.000000:0.000000:0.000000:0.000000
     y   = :@0.496807:0.359840:0.584923:0.359839:0.584923:0.343341:0.496807:0.343342:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.501046:0.359623:0.517094:0.359623:0.517094:0.344976:0.501046:0.344976:0.000000
Z:@0.521332:0.358871:0.534182:0.358871:0.534182:0.345424:0.521332:0.345424:0.000000
+:@0.534158:0.352229:0.540459:0.352229:0.540459:0.342610:0.534158:0.342610:0.000000
a:@0.556757:0.359955:0.565734:0.359955:0.565734:0.343486:0.556757:0.343486:0.000000
m:@0.586735:0.352956:0.601531:0.352956:0.601531:0.336488:0.586735:0.336488:0.000000
2:@0.601531:0.346488:0.606484:0.346488:0.606484:0.336870:0.601531:0.336870:0.000000
n:@0.589452:0.370307:0.598815:0.370307:0.598815:0.353838:0.589452:0.353838:0.000000
2:@0.598814:0.363839:0.603767:0.363839:0.603767:0.354220:0.598814:0.354220:0.000000
. Entonces   = :@0.608230:0.359839:0.712918:0.359839:0.712918:0.343341:0.608230:0.343341:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.684463:0.359955:0.693729:0.359955:0.693729:0.343486:0.684463:0.343486:0.000000
m:@0.717206:0.352956:0.732002:0.352956:0.732002:0.336488:0.717206:0.336488:0.000000
n:@0.719923:0.370307:0.729285:0.370307:0.729285:0.353838:0.719923:0.353838:0.000000
 es la raíz cuadrada de :@0.736221:0.359839:0.895947:0.359839:0.895947:0.343341:0.736221:0.343341:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.427977:0.390130:0.436954:0.390130:0.436954:0.373662:0.427977:0.373662:0.000000
, pues   = :@0.436954:0.390015:0.515021:0.390014:0.515021:0.373516:0.436954:0.373517:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.481708:0.390130:0.490974:0.390130:0.490974:0.373662:0.481708:0.373662:0.000000
2:@0.490975:0.383661:0.495928:0.383661:0.495928:0.374043:0.490975:0.374043:0.000000
m:@0.519243:0.383132:0.534039:0.383132:0.534039:0.366663:0.519243:0.366663:0.000000
n:@0.521959:0.400482:0.531322:0.400482:0.531322:0.384014:0.521959:0.384014:0.000000
 × :@0.538258:0.390014:0.557350:0.390014:0.557350:0.373516:0.538258:0.373516:0.000000:0.000000:0.000000
m:@0.561576:0.383132:0.576372:0.383132:0.576372:0.366663:0.561576:0.366663:0.000000
n:@0.564293:0.400482:0.573656:0.400482:0.573656:0.384014:0.564293:0.384014:0.000000
  = :@0.580591:0.390014:0.603825:0.390014:0.603825:0.373516:0.580591:0.373516:0.000000:0.000000:0.000000:0.000000
m:@0.605577:0.383132:0.620372:0.383132:0.620372:0.366663:0.605577:0.366663:0.000000
2:@0.620372:0.376663:0.625325:0.376663:0.625325:0.367045:0.620372:0.367045:0.000000
n:@0.608292:0.400482:0.617655:0.400482:0.617655:0.384014:0.608292:0.384014:0.000000
2:@0.617655:0.394014:0.622608:0.394014:0.622608:0.384396:0.617655:0.384396:0.000000
. = :@0.627072:0.390014:0.648918:0.390014:0.648918:0.373516:0.627072:0.373516:0.000000:0.000000:0.000000:0.000000
a.:@0.648918:0.390130:0.660439:0.390130:0.660439:0.373661:0.648918:0.373661:0.000000:0.000000
Escribiremos :@0.404230:0.437382:0.498495:0.437382:0.498495:0.420884:0.404230:0.420884:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.512043:0.437160:0.520240:0.437160:0.520240:0.422124:0.512043:0.422124:0.000000
 = :@0.526822:0.437375:0.546193:0.437375:0.546193:0.420878:0.526822:0.420878:0.000000:0.000000:0.000000
m:@0.557748:0.429682:0.572544:0.429682:0.572544:0.413213:0.557748:0.413213:0.000000
2:@0.572544:0.423213:0.577497:0.423213:0.577497:0.413595:0.572544:0.413595:0.000000
n:@0.560464:0.447033:0.569827:0.447033:0.569827:0.430564:0.560464:0.430564:0.000000
2:@0.569827:0.440564:0.574780:0.440564:0.574780:0.430946:0.569827:0.430946:0.000000
 = :@0.579768:0.437375:0.599139:0.437375:0.599139:0.420878:0.579768:0.420878:0.000000:0.000000:0.000000
m:@0.603643:0.430493:0.618439:0.430493:0.618439:0.414024:0.603643:0.414024:0.000000
n:@0.606360:0.447844:0.615723:0.447844:0.615723:0.431375:0.606360:0.431375:0.000000
. Así, si   = :@0.622658:0.437375:0.702070:0.437375:0.702070:0.420878:0.622658:0.420878:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.673711:0.437491:0.682689:0.437491:0.682689:0.421022:0.673711:0.421022:0.000000
100:@0.706046:0.431089:0.731919:0.431089:0.731919:0.414591:0.706046:0.414591:0.000000:0.000000:0.000000
49:@0.710380:0.447428:0.727565:0.447428:0.727565:0.430930:0.710380:0.430930:0.000000:0.000000
 , resulta :@0.735618:0.437364:0.798586:0.437364:0.798586:0.420866:0.735618:0.420866:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.812080:0.437160:0.820277:0.437160:0.820277:0.422124:0.812080:0.422124:0.000000
 = :@0.823596:0.437375:0.842967:0.437375:0.842967:0.420878:0.823596:0.420878:0.000000:0.000000:0.000000
10:@0.853423:0.429566:0.870415:0.429566:0.870415:0.413069:0.853423:0.413069:0.000000:0.000000
2:@0.870415:0.423213:0.875368:0.423213:0.875368:0.413595:0.870415:0.413595:0.000000
7:@0.857670:0.446917:0.866166:0.446917:0.866166:0.430419:0.857670:0.430419:0.000000
2:@0.866167:0.440564:0.871120:0.440564:0.871120:0.430946:0.866167:0.430946:0.000000
 = :@0.876542:0.437375:0.895913:0.437375:0.895913:0.420878:0.876542:0.420878:0.000000:0.000000:0.000000
10:@0.406846:0.461264:0.424031:0.461264:0.424031:0.444766:0.406846:0.444766:0.000000:0.000000
7:@0.411200:0.477603:0.419696:0.477603:0.419696:0.461105:0.411200:0.461105:0.000000
 = pues :@0.426651:0.467539:0.483597:0.467539:0.483597:0.451042:0.426651:0.451042:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10:@0.490171:0.460007:0.507356:0.460007:0.507356:0.443509:0.490171:0.443509:0.000000:0.000000
7:@0.494506:0.476345:0.503002:0.476345:0.503002:0.459848:0.494506:0.459848:0.000000
2:@0.514559:0.453654:0.519512:0.453654:0.519512:0.444036:0.514559:0.444036:0.000000
 = :@0.519513:0.467551:0.538605:0.467551:0.538605:0.451053:0.519513:0.451053:0.000000:0.000000:0.000000
100:@0.542314:0.461264:0.568188:0.461264:0.568188:0.444766:0.542314:0.444766:0.000000:0.000000:0.000000
49:@0.546649:0.477603:0.563834:0.477603:0.563834:0.461105:0.546649:0.461105:0.000000:0.000000
 .:@0.571887:0.467539:0.578784:0.467539:0.578784:0.451042:0.571887:0.451042:0.000000:0.000000
A continuación se demuestra el teorema   enunciado en el recuadro.:@0.404221:0.502241:0.890046:0.502241:0.890046:0.485743:0.404221:0.485743:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i:@0.697608:0.502819:0.702598:0.502819:0.702598:0.485758:0.697608:0.485758:0.000000
Demostración. :@0.404221:0.537405:0.519135:0.537405:0.519135:0.520459:0.404221:0.520459:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean   ≥ 0,   ≥ 0,   = :@0.518214:0.536942:0.659505:0.536942:0.659505:0.520445:0.518214:0.520445:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.554297:0.537058:0.563275:0.537058:0.563275:0.520589:0.554297:0.520589:0.000000
b:@0.594157:0.537058:0.603424:0.537058:0.603424:0.520589:0.594157:0.520589:0.000000
x:@0.634287:0.537058:0.641762:0.537058:0.641762:0.520589:0.634287:0.520589:0.000000
a:@0.668488:0.536739:0.676685:0.536739:0.676685:0.521702:0.668488:0.521702:0.000000
,   = :@0.679758:0.536954:0.710968:0.536954:0.710968:0.520456:0.679758:0.520456:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.685518:0.537069:0.693205:0.537069:0.693205:0.520601:0.685518:0.520601:0.000000
b:@0.719947:0.536739:0.728408:0.536739:0.728408:0.521702:0.719947:0.521702:0.000000
. Entonces, x  =  ,   =  .:@0.731216:0.536954:0.891766:0.536954:0.891766:0.520456:0.731216:0.520456:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.814234:0.530601:0.819188:0.530601:0.819188:0.520983:0.814234:0.520983:0.000000
a y:@0.836087:0.537069:0.858300:0.537069:0.858300:0.520601:0.836087:0.520601:0.000000:0.000000:0.000000
2:@0.858104:0.530601:0.863057:0.530601:0.863057:0.520983:0.858104:0.520983:0.000000
b:@0.879957:0.537069:0.889223:0.537069:0.889223:0.520601:0.879957:0.520601:0.000000
i):@0.404240:0.561650:0.414778:0.561650:0.414778:0.544935:0.404240:0.544935:0.000000:0.000000
  Entonces,   =   = :@0.414778:0.561433:0.568039:0.561432:0.568039:0.544934:0.414778:0.544935:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
z:@0.500123:0.561548:0.506769:0.561548:0.506769:0.545080:0.500123:0.545080:0.000000
2:@0.506773:0.555080:0.511726:0.555080:0.511726:0.545462:0.506773:0.545462:0.000000
ab x y:@0.530818:0.561548:0.588152:0.561548:0.588152:0.545079:0.530818:0.545079:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2 2:@0.575513:0.555080:0.593106:0.555080:0.593106:0.545462:0.575513:0.545462:0.000000:0.000000:0.000000
 = ( ) . Por otro lado,   = :@0.593104:0.561432:0.786085:0.561432:0.786085:0.544934:0.593104:0.544934:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
xy:@0.618149:0.561548:0.633504:0.561548:0.633504:0.545079:0.618149:0.545079:0.000000:0.000000
2:@0.639455:0.555080:0.644408:0.555080:0.644408:0.545462:0.639455:0.545462:0.000000
xy:@0.751637:0.561548:0.766992:0.561548:0.766992:0.545079:0.751637:0.545079:0.000000:0.000000
a b:@0.796030:0.561217:0.825704:0.561217:0.825704:0.546180:0.796030:0.546180:0.000000:0.000000:0.000000
. :@0.828512:0.561432:0.835409:0.561432:0.835409:0.544934:0.828512:0.544934:0.000000:0.000000
 :@0.404234:0.587617:0.408376:0.587617:0.408376:0.571120:0.404234:0.571120:0.000000
Luego, ( )  = :@0.427968:0.587617:0.529392:0.587622:0.529392:0.571124:0.427968:0.571120:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
xy:@0.484030:0.587733:0.499385:0.587733:0.499385:0.571264:0.484030:0.571264:0.000000:0.000000
2:@0.505347:0.581269:0.510300:0.581269:0.510300:0.571651:0.505347:0.571651:0.000000
a b:@0.542202:0.588072:0.572987:0.588072:0.572987:0.573035:0.542202:0.573035:0.000000:0.000000:0.000000
2:@0.580374:0.581269:0.585327:0.581269:0.585327:0.571651:0.580374:0.571651:0.000000
 = :@0.585328:0.587622:0.604420:0.587622:0.604420:0.571124:0.585328:0.571124:0.000000:0.000000:0.000000
a:@0.617683:0.587951:0.625880:0.587951:0.625880:0.572914:0.617683:0.572914:0.000000
2 :@0.632462:0.581269:0.639830:0.581269:0.639830:0.571651:0.632462:0.571651:0.000000:0.000000
b:@0.653095:0.587951:0.661556:0.587951:0.661556:0.572914:0.653095:0.572914:0.000000
2:@0.667874:0.578754:0.672827:0.578754:0.672827:0.569136:0.667874:0.569136:0.000000
 =   =  .:@0.672827:0.587622:0.743493:0.587622:0.743493:0.571124:0.672827:0.571124:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ab z:@0.691919:0.587737:0.735786:0.587737:0.735786:0.571269:0.691919:0.571269:0.000000:0.000000:0.000000:0.000000
2:@0.735785:0.581269:0.740738:0.581269:0.740738:0.571651:0.735785:0.571651:0.000000
Así,   = :@0.404232:0.622323:0.452607:0.622323:0.452607:0.605825:0.404232:0.605825:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
z:@0.429335:0.622439:0.435981:0.622439:0.435981:0.605970:0.429335:0.605970:0.000000
a b:@0.461652:0.622108:0.493975:0.622108:0.493975:0.607071:0.461652:0.607071:0.000000:0.000000:0.000000
 :@0.472343:0.622323:0.476485:0.622323:0.476485:0.605825:0.472343:0.605825:0.000000
 es tal que   =  , y como   = :@0.496203:0.622323:0.686451:0.622323:0.686451:0.605825:0.496203:0.605825:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
z:@0.562281:0.622439:0.568928:0.622439:0.568928:0.605970:0.562281:0.605970:0.000000
2:@0.568185:0.615970:0.573138:0.615970:0.573138:0.606352:0.568185:0.606352:0.000000
ab:@0.589162:0.622439:0.606520:0.622439:0.606520:0.605970:0.589162:0.605970:0.000000:0.000000
z:@0.663160:0.622439:0.669806:0.622439:0.669806:0.605970:0.663160:0.605970:0.000000
ab:@0.695480:0.622108:0.712032:0.622108:0.712032:0.607071:0.695480:0.607071:0.000000:0.000000
, se sigue que :@0.712871:0.622323:0.798370:0.622323:0.798370:0.605825:0.712871:0.605825:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ab:@0.807418:0.622108:0.823970:0.622108:0.823970:0.607071:0.807418:0.607071:0.000000:0.000000
 =  :@0.824808:0.622323:0.845422:0.622323:0.845422:0.605825:0.824808:0.605825:0.000000:0.000000:0.000000:0.000000
a b:@0.854464:0.622108:0.886786:0.622108:0.886786:0.607071:0.854464:0.607071:0.000000:0.000000:0.000000
 :@0.865155:0.622323:0.869297:0.622323:0.869297:0.605825:0.865155:0.605825:0.000000
.:@0.889015:0.622323:0.891770:0.622323:0.891770:0.605825:0.889015:0.605825:0.000000
Observación:@0.404244:0.657487:0.501589:0.657487:0.501589:0.640541:0.404244:0.640541:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean :@0.404244:0.674375:0.442042:0.674375:0.442042:0.657878:0.404244:0.657878:0.000000:0.000000:0.000000:0.000000:0.000000
a, b:@0.443333:0.674491:0.469553:0.674491:0.469553:0.658022:0.443333:0.658022:0.000000:0.000000:0.000000:0.000000
    . Si   < 0,   < 0, entonces :@0.469553:0.674375:0.699619:0.674375:0.699619:0.657878:0.469553:0.657878:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.474986:0.674159:0.491034:0.674159:0.491034:0.659512:0.474986:0.659512:0.000000
R:@0.496467:0.673407:0.510376:0.673407:0.510376:0.659960:0.496467:0.659960:0.000000
a:@0.535806:0.674491:0.544784:0.674491:0.544784:0.658022:0.535806:0.658022:0.000000
b:@0.583141:0.674491:0.592407:0.674491:0.592407:0.658022:0.583141:0.658022:0.000000
ab:@0.700909:0.674491:0.719038:0.674491:0.719038:0.658022:0.700909:0.658022:0.000000:0.000000
 > 0 y, en consecuencia, :@0.718961:0.674375:0.895980:0.674375:0.895980:0.657878:0.718961:0.657878:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ab:@0.414182:0.691511:0.430734:0.691511:0.430734:0.676474:0.414182:0.676474:0.000000:0.000000
 está bien definida. Por otro lado, :@0.432152:0.691726:0.668631:0.691726:0.668631:0.675228:0.432152:0.675228:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.678453:0.691511:0.686650:0.691511:0.686650:0.676474:0.678453:0.676474:0.000000
 , :@0.689722:0.691726:0.700202:0.691726:0.700202:0.675228:0.689722:0.675228:0.000000:0.000000:0.000000
b:@0.709797:0.691511:0.718257:0.691511:0.718257:0.676474:0.709797:0.676474:0.000000
 no están definidas en el :@0.721066:0.691726:0.895875:0.691726:0.895875:0.675228:0.721066:0.675228:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conjunto  . En este caso, la igualdad :@0.404229:0.709077:0.668181:0.709077:0.668181:0.692579:0.404229:0.692579:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.473739:0.708108:0.487648:0.708108:0.487648:0.694661:0.473739:0.694661:0.000000
ab:@0.678131:0.708862:0.694683:0.708862:0.694683:0.693825:0.678131:0.693825:0.000000:0.000000
 = :@0.696101:0.709077:0.714808:0.709077:0.714808:0.692579:0.696101:0.692579:0.000000:0.000000:0.000000
a b:@0.724560:0.708862:0.758185:0.708862:0.758185:0.693825:0.724560:0.693825:0.000000:0.000000:0.000000
 :@0.735830:0.709077:0.739972:0.709077:0.739972:0.692579:0.735830:0.692579:0.000000
 es absurda.:@0.760994:0.709077:0.842852:0.709077:0.842852:0.692579:0.760994:0.692579:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejercicios resueltos:@0.404240:0.744154:0.534895:0.744154:0.534895:0.727367:0.404240:0.727367:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.404240:0.761346:0.420596:0.761346:0.420596:0.744631:0.404240:0.744631:0.000000:0.000000:0.000000
  Si   = –9,   = –25, entonces   = (–9)(–25) = 225 y :@0.420596:0.761129:0.811401:0.761129:0.811401:0.744631:0.420596:0.744631:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.444986:0.761245:0.453963:0.761245:0.453963:0.744776:0.444986:0.744776:0.000000
b:@0.502107:0.761245:0.511374:0.761245:0.511374:0.744776:0.502107:0.744776:0.000000
ab:@0.637908:0.761245:0.656036:0.761245:0.656036:0.744776:0.637908:0.744776:0.000000:0.000000
225:@0.824028:0.761746:0.847299:0.761746:0.847299:0.746683:0.824028:0.746683:0.000000:0.000000:0.000000
 = 15, :@0.850832:0.761129:0.895932:0.761129:0.895932:0.744631:0.850832:0.744631:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pero  –9  y  –25 no están definidas en el conjunto  . La igual-:@0.427979:0.781242:0.891737:0.781242:0.891737:0.764745:0.427979:0.764744:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.809954:0.780273:0.823864:0.780273:0.823864:0.766827:0.809954:0.766827:0.000000
dad  :@0.427982:0.801355:0.464046:0.801355:0.464046:0.784857:0.427982:0.784857:0.000000:0.000000:0.000000:0.000000:0.000000
(–9) × (–25):@0.472774:0.801980:0.554391:0.801980:0.554391:0.786917:0.472774:0.786917:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 =  –9 –25 es absurda, pues no tiene sentido :@0.554755:0.801363:0.895922:0.801359:0.895922:0.784861:0.554755:0.784865:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en el conjunto de los números reales.:@0.427974:0.818710:0.690770:0.818710:0.690770:0.802212:0.427974:0.802212:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Desequilibrio cognitivo:@0.199646:0.220524:0.363493:0.220524:0.363493:0.205051:0.199646:0.205051:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La igualdad:@0.199884:0.249151:0.273725:0.249151:0.273725:0.234088:0.199884:0.234088:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(–4) × (–81)   =  (–4) ×  (–81),:@0.161616:0.274317:0.358608:0.272125:0.358608:0.257062:0.161616:0.259254:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿tiene sentido en el conjunto de :@0.153350:0.295096:0.364903:0.295096:0.364903:0.280033:0.153350:0.280033:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los números reales?:@0.153350:0.310938:0.277938:0.310938:0.277938:0.295875:0.153350:0.295875:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Saberes previos:@0.199644:0.101454:0.307803:0.101454:0.307803:0.085981:0.199644:0.085981:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué tipo de raíces :@0.199880:0.130082:0.328215:0.130082:0.328215:0.115019:0.199880:0.115019:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
representan las expresiones::@0.153337:0.145924:0.332859:0.145924:0.332859:0.130861:0.153337:0.130861:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a  , a  :@0.153337:0.177041:0.200307:0.177041:0.200307:0.162004:0.153337:0.162004:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.163590:0.161451:0.167801:0.161451:0.167801:0.152859:0.163590:0.152859:0.000000
2:@0.163590:0.171507:0.167801:0.171507:0.167801:0.162915:0.163590:0.162915:0.000000
1:@0.190263:0.161451:0.194474:0.161451:0.194474:0.152859:0.190263:0.152859:0.000000
3:@0.190263:0.171507:0.194474:0.171507:0.194474:0.162915:0.190263:0.162915:0.000000
?:@0.200307:0.176936:0.205513:0.176936:0.205513:0.161872:0.200307:0.161872:0.000000
Competencia :@0.199644:0.418192:0.297267:0.418192:0.297267:0.402719:0.199644:0.402719:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.199644:0.430759:0.283707:0.430759:0.283707:0.415287:0.199644:0.415287:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Propiedades:@0.199880:0.455657:0.286844:0.455657:0.286844:0.440184:0.199880:0.440184:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Teorema:@0.153337:0.478627:0.214461:0.478627:0.214461:0.463155:0.153337:0.463155:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean   ≥ 0 ,   ≥ 0 .:@0.153337:0.501176:0.271261:0.501176:0.271261:0.486113:0.153337:0.486113:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.187849:0.501282:0.196046:0.501282:0.196046:0.486245:0.187849:0.486245:0.000000
b:@0.231314:0.501282:0.239775:0.501282:0.239775:0.486245:0.231314:0.486245:0.000000
Entonces::@0.153337:0.524147:0.215463:0.524147:0.215463:0.509084:0.153337:0.509084:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i) :@0.153337:0.547461:0.166688:0.547461:0.166688:0.532200:0.153337:0.532200:0.000000:0.000000:0.000000
 :@0.166688:0.547263:0.170470:0.547263:0.170470:0.532200:0.166688:0.532200:0.000000
ab:@0.187033:0.547367:0.203585:0.547367:0.203585:0.532330:0.187033:0.532330:0.000000:0.000000
 = :@0.205203:0.547261:0.222635:0.547261:0.222635:0.532198:0.205203:0.532198:0.000000:0.000000:0.000000
a b:@0.232573:0.546109:0.262441:0.546109:0.262441:0.531073:0.232573:0.531073:0.000000:0.000000:0.000000
.:@0.265449:0.547258:0.267965:0.547258:0.267965:0.532195:0.265449:0.532195:0.000000
ii):@0.153348:0.587008:0.166857:0.587008:0.166857:0.571747:0.153348:0.571747:0.000000:0.000000:0.000000
  Si   > 0.  :@0.166857:0.586810:0.235388:0.586810:0.235388:0.571747:0.166857:0.571747:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.191659:0.586916:0.200120:0.586916:0.200120:0.571879:0.191659:0.571879:0.000000
=:@0.265484:0.585660:0.275423:0.585660:0.275423:0.570624:0.265484:0.570624:0.000000
a:@0.247218:0.578661:0.255415:0.578661:0.255415:0.563624:0.247218:0.563624:0.000000
b:@0.247077:0.595004:0.255538:0.595004:0.255538:0.579968:0.247077:0.579968:0.000000
a:@0.292024:0.577940:0.300221:0.577940:0.300221:0.562904:0.292024:0.562904:0.000000
b:@0.292024:0.596800:0.300484:0.596800:0.300484:0.581763:0.292024:0.581763:0.000000
 :@0.304407:0.586806:0.308189:0.586806:0.308189:0.571743:0.304407:0.571743:0.000000
.:@0.308189:0.583031:0.310704:0.583031:0.310704:0.567967:0.308189:0.567967:0.000000
iii):@0.153344:0.626543:0.170740:0.626543:0.170740:0.611282:0.153344:0.611282:0.000000:0.000000:0.000000:0.000000
 Si   > 0.  :@0.170740:0.626345:0.235120:0.626345:0.235120:0.611282:0.170740:0.611282:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.191655:0.626451:0.199852:0.626451:0.199852:0.611414:0.191655:0.611414:0.000000
=:@0.262895:0.625197:0.272833:0.625197:0.272833:0.610160:0.262895:0.610160:0.000000
1:@0.242857:0.618102:0.250614:0.618102:0.250614:0.603039:0.242857:0.603039:0.000000
a:@0.245978:0.637067:0.254175:0.637067:0.254175:0.622031:0.245978:0.622031:0.000000
a:@0.287804:0.617488:0.296001:0.617488:0.296001:0.602451:0.287804:0.602451:0.000000
a:@0.284462:0.634174:0.292659:0.634174:0.292659:0.619138:0.284462:0.619138:0.000000
 .:@0.300187:0.623838:0.306484:0.623838:0.306484:0.608774:0.300187:0.608774:0.000000:0.000000
iv):@0.153346:0.658228:0.170513:0.658228:0.170513:0.642967:0.153346:0.642967:0.000000:0.000000:0.000000
  Si 0 <   <  entonces:@0.170513:0.658030:0.316018:0.658030:0.316018:0.642967:0.170513:0.642967:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b, :@0.216846:0.658135:0.256933:0.658135:0.256933:0.643099:0.216846:0.643099:0.000000:0.000000:0.000000:0.000000:0.000000
  :@0.153346:0.677687:0.160909:0.677687:0.160909:0.662650:0.153346:0.662650:0.000000:0.000000
a:@0.187033:0.676441:0.195230:0.676441:0.195230:0.661404:0.187033:0.661404:0.000000
< :@0.198502:0.677590:0.212152:0.677590:0.212152:0.662527:0.198502:0.662527:0.000000:0.000000
b:@0.222091:0.676441:0.230552:0.676441:0.230552:0.661404:0.222091:0.661404:0.000000
. :@0.233559:0.677590:0.239857:0.677590:0.239857:0.662527:0.233559:0.662527:0.000000:0.000000
Pixabay.com:@0.139642:0.825077:0.139642:0.790709:0.128173:0.790709:0.128173:0.825077:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000