Simplify square root of 54x^2y

$\sqrt{54 x^{2} y}$

Step 1

Rewrite $54 x^{2} y$ as ${(3 x)}^{2} \cdot (6 y)$ .

Factor $9$ out of $54$ .

$\sqrt{9 (6) x^{2} y}$

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

$\sqrt{3^{2} \cdot 6 x^{2} y}$

Move $6$ .

$\sqrt{3^{2} x^{2} \cdot 6 y}$

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

$\sqrt{{(3 x)}^{2} \cdot 6 y}$

Add parentheses.

$\sqrt{{(3 x)}^{2} \cdot (6 y)}$

Step 2

Pull terms out from under the radical.

$3 x \sqrt{6 y}$