Simplify square root of y^19

$\sqrt{y^{19}}$

Step 1

Rewrite $y^{19}$ as ${(y^{9})}^{2} y$ .

Factor out $y^{18}$ .

$\sqrt{y^{18} y}$

Rewrite $y^{18}$ as ${(y^{9})}^{2}$ .

$\sqrt{{(y^{9})}^{2} y}$

Step 2

Pull terms out from under the radical.

$y^{9} \sqrt{y}$