Simplify square root of y^5

$\sqrt{y^{5}}$

Step 1

Rewrite $y^{5}$ as ${(y^{2})}^{2} y$ .

Factor out $y^{4}$ .

$\sqrt{y^{4} y}$

Rewrite $y^{4}$ as ${(y^{2})}^{2}$ .

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

Step 2

Pull terms out from under the radical.

$y^{2} \sqrt{y}$