Question

Operação com radicais.

Answer 1

$\boxed{ \frac{2 \sqrt{2 \sqrt{2 \sqrt{2} } } }{ \sqrt[4]{8} } }\\ \\ \\\boxed{ \frac{2 \sqrt{2 \sqrt{2*2^{ \frac{1}{2} }} } }{ \sqrt[4]{2^3} } } \\ \\\boxed{ \frac{2 \sqrt{2 \sqrt{2^{ \frac{2}{3} }} } }{2^ \frac{3}{4} } }\\ \\ \\\boxed{ \frac{2 \sqrt{2 \sqrt[4]{2^3} } }{2^{ \frac{3}{4} }} }$

$\boxed{ \frac{2 \sqrt{2*2^{ \frac{3}{4} }} }{2^{ \frac{3}{4} }} }\\ \\ \\\boxed{ \frac{2 \sqrt{2^{ \frac{7}{4} }} }{2^{ \frac{3}{4} }} }\\ \\ \\\boxed{ \frac{2 \sqrt{2^{ \frac{7}{4} }} }{2^{ \frac{3}{4} }} }\\ \\ \\\boxed{ \frac{2 \sqrt{ \sqrt[4]{2^7} } }{2^{ \frac{3}{4} }} }$

$\boxed{ \frac{2 \sqrt[8]{2^7} }{2^{ \frac{3}{4} }} }$

$\boxed{ \frac{2^{ \frac{15}{8} }}{2^{ \frac{3}{4} }} }\\ \\ \\ \sqrt[8]{2^9} \\\ \\ \\ \sqrt[8]{2^8*2} \\ \\\boxed{\boxed{2 \sqrt[8]{2} }}$

Alternativa D