Simplify square root of 48x^2y

$\sqrt{48 x^{2} y}$

Step 1

Rewrite $48 x^{2} y$ as ${(4 x)}^{2} \cdot (3 y)$ .

Factor $16$ out of $48$ .

$\sqrt{16 (3) x^{2} y}$

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

$\sqrt{4^{2} \cdot 3 x^{2} y}$

Move $3$ .

$\sqrt{4^{2} x^{2} \cdot 3 y}$

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

$\sqrt{{(4 x)}^{2} \cdot 3 y}$

Add parentheses.

$\sqrt{{(4 x)}^{2} \cdot (3 y)}$

Step 2

Pull terms out from under the radical.

$4 x \sqrt{3 y}$