Simplify square root of w^13

$\sqrt{w^{13}}$

Step 1

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

Factor out $w^{12}$ .

$\sqrt{w^{12} w}$

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

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

Step 2

Pull terms out from under the radical.

$w^{6} \sqrt{w}$