Simplify square root of 18x^2y

$\sqrt{18 x^{2} y}$

Step 1

Rewrite $18 x^{2} y$ as ${(3 x)}^{2} \cdot (2 y)$ .

Factor $9$ out of $18$ .

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

Rewrite $9$ as $3^{2}$ .

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

Move $2$ .

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

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

$\sqrt{{(3 x)}^{2} \cdot 2 y}$

Add parentheses.

$\sqrt{{(3 x)}^{2} \cdot (2 y)}$

Step 2

Pull terms out from under the radical.

$3 x \sqrt{2 y}$