Simplify square root of y^11

$\sqrt{y^{11}}$

Step 1

Rewrite $y^{11}$ as ${(y^{5})}^{2} y$ .

Factor out $y^{10}$ .

$\sqrt{y^{10} y}$

Rewrite $y^{10}$ as ${(y^{5})}^{2}$ .

$\sqrt{{(y^{5})}^{2} y}$

Step 2

Pull terms out from under the radical.

$y^{5} \sqrt{y}$