Question

Simplificação de radicais

Answer 1

$\sqrt[n-1]{ \frac{a}{ \sqrt[n]{a} }} = (\frac{a}{a^{\frac{1}{n}}} )^{\frac{1}{(n-1)}} = (a^{1-\frac{1}{n}})^{\frac{1}{n-1}}= (a^{\frac{n-1}{n}})^{\frac{1}{n-1}} = a^{\frac{1}{n}} = \sqrt[n]{a}$