Simplify square root of 96x^2y

$\sqrt{96 x^{2} y}$

Step 1

Rewrite $96 x^{2} y$ as ${(4 x)}^{2} \cdot (6 y)$ .

Factor $16$ out of $96$ .

$\sqrt{16 (6) x^{2} y}$

Rewrite $16$ as $4^{2}$ .

$\sqrt{4^{2} \cdot 6 x^{2} y}$

Move $6$ .

$\sqrt{4^{2} x^{2} \cdot 6 y}$

Rewrite $4^{2} x^{2}$ as ${(4 x)}^{2}$ .

$\sqrt{{(4 x)}^{2} \cdot 6 y}$

Add parentheses.

$\sqrt{{(4 x)}^{2} \cdot (6 y)}$

Step 2

Pull terms out from under the radical.

$4 x \sqrt{6 y}$