63+3662−32−33−6\frac{6\sqrt{3}+3\sqrt{6}}{{\sqrt{6}}^{2}-{\sqrt{3}}^{2}}-\frac{3}{3-\sqrt{6}}
6
2
−
3
2
6
3
+3
6
−
3−
6
3
2 Extrae el factor común 333.
3(23+6)62−32−33−6\frac{3(2\sqrt{3}+\sqrt{6})}{{\sqrt{6}}^{2}-{\sqrt{3}}^{2}}-\frac{3}{3-\sqrt{6}}
6
2
−
3
2
3(2
3
+
6
)
−
3−
6
3
3 Usa esta regla: x2=x{\sqrt{x}}^{2}=x
x
2
=x.
3(23+6)6−32−33−6\frac{3(2\sqrt{3}+\sqrt{6})}{6-{\sqrt{3}}^{2}}-\frac{3}{3-\sqrt{6}}
6−
3
2
3(2
3
+
6
)
−
3−
6
3
4 Usa esta regla: x2=x{\sqrt{x}}^{2}=x
x
2
=x.
3(23+6)6−3−33−6\frac{3(2\sqrt{3}+\sqrt{6})}{6-3}-\frac{3}{3-\sqrt{6}}
6−3
3(2
3
+
6
)
−
3−
6
3
5 Simplifica 6−36- 6−3 a 333.
3(23+6)3−33−6\frac{3(2\sqrt{3}+\sqrt{6})}{3}-\frac{3}{3-\sqrt{6}}
3
3(2
3
+
6
)
−
3−
6
3
6 Cancela 333.
23+6−33−62\sqrt{3}+\sqrt{6}-\frac{3}{3-\sqrt{6}}
2
3
+
6
−
3−
6
3
7 Racionaliza el denominador: 33−6⋅3+63+6=9+3632−62\frac{3}
3−
6
3
⋅
3+
6
3+
6
=
3
2
−
6
2
9+3
6
.
23+6−9+3632−622\sqrt{3}+\sqrt{6}-\frac{9+3\sqrt{6}}{{3}^{2}-{\sqrt{6}}^{2}}
2
3
+
6
−
3
2
−
6
2
9+3
6
8 Extrae el factor común 333.
23+6−3(3+6)32−622\sqrt{3}+\sqrt{6}-\frac{3(3+\sqrt{6})}{{3}^{2}-{\sqrt{6}}^{2}}
2
3
+
6
−
3
2
−
6
2
3(3+
6
)
9 Simplifica 32{3}^{2}3
2
a 999.
23+6−3(3+6)9−622\sqrt{3}+\sqrt{6}-\frac{3(3+\sqrt{6})}{9-{\sqrt{6}}^{2}}
2
3
+
6
−
9−
6
2
3(3+
6
)
10 Usa esta regla: x2=x{\sqrt{x}}^{2}=x
x
2
=x.
23+6−3(3+6)9−62\sqrt{3}+\sqrt{6}-\frac{3(3+\sqrt{6})}{9-6}
2
3
+
6
−
9−6
3(3+
6
)
11 Simplifica 9−69- 9−6 a 333.
23+6−3(3+6)32\sqrt{3}+\sqrt{6}-\frac{3(3+\sqrt{6})}{3}
2
3
+
6
−
3
3(3+
6
)
12 Cancela 333.
23+6−(3+6)2\sqrt{3}+\sqrt{6}-(3+\sqrt{6})
2
3
+
6
−(3+
6
)
13 Eliminar paréntesis.
23+6−3−62\sqrt{3}+\sqrt{6}-3-\sqrt{6}
2
3
+
6
−3−
6
14 Colecciona los términos semejantes.
23+(6−6)−32\sqrt{3}+(\sqrt{6}-\sqrt{6})-3
2
3
+(
6
−
6
)−3
15 Simplifica.
23−32\sqrt{3}-3
2
3
−3
