Simplify square root of 175x^2y

$\sqrt{175 x^{2} y}$

Step 1

Rewrite $175 x^{2} y$ as ${(5 x)}^{2} \cdot (7 y)$ .

Factor $25$ out of $175$ .

$\sqrt{25 (7) x^{2} y}$

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

$\sqrt{5^{2} \cdot 7 x^{2} y}$

Move $7$ .

$\sqrt{5^{2} x^{2} \cdot 7 y}$

Rewrite $5^{2} x^{2}$ as ${(5 x)}^{2}$ .

$\sqrt{{(5 x)}^{2} \cdot 7 y}$

Add parentheses.

$\sqrt{{(5 x)}^{2} \cdot (7 y)}$

Step 2

Pull terms out from under the radical.

$5 x \sqrt{7 y}$