Question

por favor me de a conta e a resposta junto por favor ​

Answer 1

Lembrando que:

$\rightarrow~\sqrt[b]{a^c}~=~a^{\frac{c}{b}}$

$\sqrt{8}:\sqrt[3]{2}~=~\frac{\sqrt{8}}{\sqrt[3]{2}}~=~\frac{\sqrt{2~.~2~.~2}}{\sqrt[3]{2}}~=~\frac{\sqrt{2^3}}{\sqrt[3]{2}}~=~\frac{2^{\frac{3}{2}}}{2^{\frac{1}{3}}}~=~2^{\,\frac{3}{2}-\frac{1}{3}}~=~2^{\frac{7}{6}}~=\\\\\\=~\sqrt[6]{2^7}~=~\sqrt[6]{2^6~.~2}~=~\boxed{2\sqrt[6]{2}}$