Simplify square root of y^17

$\sqrt{y^{17}}$

Step 1

Rewrite $y^{17}$ as ${(y^{8})}^{2} y$ .

Factor out $y^{16}$ .

$\sqrt{y^{16} y}$

Rewrite $y^{16}$ as ${(y^{8})}^{2}$ .

$\sqrt{{(y^{8})}^{2} y}$

Step 2

Pull terms out from under the radical.

$y^{8} \sqrt{y}$