Simplify square root of y^13

$\sqrt{y^{13}}$

Step 1

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

Factor out $y^{12}$ .

$\sqrt{y^{12} y}$

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

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

Step 2

Pull terms out from under the radical.

$y^{6} \sqrt{y}$