Simplify square root of u^13

$\sqrt{u^{13}}$

Step 1

Rewrite $u^{13}$ as ${(u^{6})}^{2} u$ .

Factor out $u^{12}$ .

$\sqrt{u^{12} u}$

Rewrite $u^{12}$ as ${(u^{6})}^{2}$ .

$\sqrt{{(u^{6})}^{2} u}$

Step 2

Pull terms out from under the radical.

$u^{6} \sqrt{u}$