Question

Вычислить $sqrt[3]{36}$ *$sqrt[6]{36}$

Answer 1

$sqrt[3]{36}cdotsqrt[6]{36}=sqrt[3]{36}cdotsqrt[3]{sqrt{36}}=sqrt[3]{36}cdotsqrt[3]{6}=sqrt[3]{36cdot6}=sqrt[3]{6^3}=6$

Answer 2

$sqrt[3]{36} * sqrt[6]{36} = sqrt[6]{36^{3} } * sqrt[6]{36} = sqrt[6]{6^{6} } = 6$