Simplify square root of 15y^3

$\sqrt{15 y^{3}}$

Step 1

Rewrite $15 y^{3}$ as $y^{2} \cdot (15 y)$ .

Factor out $y^{2}$ .

$\sqrt{15 (y^{2} y)}$

Reorder $15$ and $y^{2}$ .

$\sqrt{y^{2} \cdot 15 y}$

Add parentheses.

$\sqrt{y^{2} \cdot (15 y)}$

Step 2

Pull terms out from under the radical.

$y \sqrt{15 y}$