Simplify the Radical Expression square root of 2x^2y^3

$\sqrt{2 x^{2} y^{3}}$

Step 1

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

Factor out $y^{2}$ .

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

Move $2$ .

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

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

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

Add parentheses.

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

Step 2

Pull terms out from under the radical.

$| x y | \sqrt{2 y}$