Simplify square root of 15xy^3

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

Step 1

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

Factor out $y^{2}$ .

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

Move $x$ .

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

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

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

Add parentheses.

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

Add parentheses.

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

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

Step 2

Pull terms out from under the radical.

$y \sqrt{15 x y}$

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