Question

A) 3 sobre √7 - √2
B) 3√2 sobre √5 + √11

Me ajudem ...

Answer 1

Boa noite! =)

A)

$\frac{3}{\sqrt{7}-\sqrt{2}}$

$\frac{3\sqrt{7-\sqrt{2}}}{\sqrt{7-\sqrt{2}}.\sqrt{7-\sqrt{2}}}$

$\frac{3\sqrt{7-\sqrt{2}}}{7-\sqrt{2}}$

$\frac{3\sqrt{7-\sqrt{2}}.(7+\sqrt{2})}{(7-\sqrt{2}).(7+\sqrt{2})}$

$\frac{3\sqrt{7-\sqrt{2}}.(7+\sqrt{2})}{49-2}$

Resposta:

$\frac{3\sqrt{7-\sqrt{2}}.(7+\sqrt{2})}{47}$

B)

$\frac{3\sqrt{2}}{\sqrt{5}+\sqrt{11}}$

$\frac{3\sqrt{2}.(\sqrt{5}-\sqrt{11})}{5-11}$

$\frac{3\sqrt{2}.(\sqrt{5}-\sqrt{11})}{-6}$

Simplificando:

$\frac{\sqrt{2}.(\sqrt{5}-\sqrt{11})}{-2}$

$\frac{\sqrt{2}\sqrt{5}-\sqrt{2}\sqrt{11}}{-2}$

$\frac{\sqrt{10}-\sqrt{22}}{-2}$

$\frac{-(\sqrt{22}-\sqrt{10})}{-2}$

Resposta:

$\frac{\sqrt{22}-\sqrt{10}}{2}$

Espero ter ajudado!