Simplify x square root of 12y

$x \sqrt{12 y}$

Rewrite $12 y$ as $2^{2} \cdot (3 y)$ .

Factor $4$ out of $12$ .

$x \sqrt{4 (3) y}$

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

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

Add parentheses.

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

Pull terms out from under the radical.

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

Rewrite using the commutative property of multiplication.

$2 x \sqrt{3 y}$