Simplify square root of square root of t^5

$\sqrt{\sqrt{t^{5}}}$

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

Factor out $t^{4}$ .

$\sqrt{\sqrt{t^{4} t}}$

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

$\sqrt{\sqrt{{(t^{2})}^{2} t}}$

Pull terms out from under the radical.

$\sqrt{t^{2} \sqrt{t}}$

Pull terms out from under the radical.

$t \sqrt{\sqrt{t}}$

Rewrite $\sqrt{\sqrt{t}}$ as $\sqrt[4]{t}$ .

$t \sqrt[4]{t}$