Simplify square root of 125x

$\sqrt{125 x}$

Step 1

Rewrite $125 x$ as $5^{2} \cdot (5 x)$ .

Factor $25$ out of $125$ .

$\sqrt{25 (5) x}$

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

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

Add parentheses.

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

Step 2

Pull terms out from under the radical.

$5 \sqrt{5 x}$