Simplify fifth root of square root of y^5

$\sqrt[5]{\sqrt{y^{5}}}$

Rewrite $y^{5}$ as ${(y^{2})}^{2} y$ .

Factor out $y^{4}$ .

$\sqrt[5]{\sqrt{y^{4} y}}$

Rewrite $y^{4}$ as ${(y^{2})}^{2}$ .

$\sqrt[5]{\sqrt{{(y^{2})}^{2} y}}$

Pull terms out from under the radical.

$\sqrt[5]{y^{2} \sqrt{y}}$