Simplify x square root of 50y

$x \sqrt{50 y}$

Rewrite $50 y$ as $5^{2} \cdot (2 y)$ .

Factor $25$ out of $50$ .

$x \sqrt{25 (2) y}$

Rewrite $25$ as $5^{2}$ .

$x \sqrt{5^{2} \cdot 2 y}$

Add parentheses.

$x \sqrt{5^{2} \cdot (2 y)}$

Pull terms out from under the radical.

$x (5 \sqrt{2 y})$

Rewrite using the commutative property of multiplication.

$5 x \sqrt{2 y}$