Simplify square root of y^15

$\sqrt{y^{15}}$

Step 1

Rewrite $y^{15}$ as ${(y^{7})}^{2} y$ .

Factor out $y^{14}$ .

$\sqrt{y^{14} y}$

Rewrite $y^{14}$ as ${(y^{7})}^{2}$ .

$\sqrt{{(y^{7})}^{2} y}$

Step 2

Pull terms out from under the radical.

$y^{7} \sqrt{y}$