Question

$(\sqrt[6]{8} )^2$

Preciso do passo a passo disso

Answer 1

Resposta:

$(\sqrt[6]{8} )^{2} =\sqrt[6]{8} .\sqrt[6]{8}$

multiplicação de raizes

$\sqrt[6]{8}. \sqrt[6]{8} =\sqrt[6]{8.8} =\sqrt[6]{64}$

decompondo o 64

64 | 2

32 | 2

16 | 2

8 | 2

4 | 2

2 | 2

1

$64=2.2.2.2.2.2=2^{6}$

$\sqrt[6]{64} =\sqrt[6]{2^{6} } =2$

Resposta: 2