Simplify square root of u^7

$\sqrt{u^{7}}$

Step 1

Rewrite $u^{7}$ as ${(u^{3})}^{2} u$ .

Factor out $u^{6}$ .

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

Rewrite $u^{6}$ as ${(u^{3})}^{2}$ .

$\sqrt{{(u^{3})}^{2} u}$

Step 2

Pull terms out from under the radical.

$u^{3} \sqrt{u}$