Question

quanto vale
$\frac{ \sqrt{2} }{ \sqrt{8 - 2} }$
resposta
$1 + \frac{ \sqrt{2} }{2}$
meu resultado não ta batendo com o gabarito
me ajudem ai galera

Answer 1

$\frac{\sqrt{2}}{\sqrt{8}-2}. \frac{\sqrt{8}+2}{\sqrt{8}+2} \\\\\frac{\sqrt{2}\sqrt{8}+2\sqrt{2}}{\sqrt{8}^2-2\sqrt{8}+2\sqrt{8}-2^2}\\ \\\frac{\sqrt{2*8}+2\sqrt{2}}{8-4}\\\\\frac{\sqrt{16}+2\sqrt{2}}{4}\\\\\frac{4+2\sqrt{2}}{4}\\\\\frac{4}{4}+ \frac{2\sqrt{2}}{4} \\\\1+\frac{\sqrt{2}}{2}$