Simplify square root of 81y^5

$\sqrt{81 y^{5}}$

Step 1

Rewrite $81 y^{5}$ as ${(9 y^{2})}^{2} y$ .

Rewrite $81$ as $9^{2}$ .

$\sqrt{9^{2} y^{5}}$

Factor out $y^{4}$ .

$\sqrt{9^{2} (y^{4} y)}$

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

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

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

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

Step 2

Pull terms out from under the radical.

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