Simplify square root of 125b

$\sqrt{125 b}$

Step 1

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

Factor $25$ out of $125$ .

$\sqrt{25 (5) b}$

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

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

Add parentheses.

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

Step 2

Pull terms out from under the radical.

$5 \sqrt{5 b}$