Simplify square root of 125n

$\sqrt{125 n}$

Step 1

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

Factor $25$ out of $125$ .

$\sqrt{25 (5) n}$

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

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

Add parentheses.

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

Step 2

Pull terms out from under the radical.

$5 \sqrt{5 n}$