simplify.\n$sqrt{125}$

Explanation:

Step1: Prime - factorize 125

$125 = 5\times5\times5$

Step2: Rewrite the square - root

$\sqrt{125}=\sqrt{5\times5\times5}$

Step3: Use the square - root property $\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}$

$\sqrt{5\times5\times5}=\sqrt{5\times5}\cdot\sqrt{5}$

Step4: Simplify $\sqrt{5\times5}$

$\sqrt{5\times5}=5$, so $\sqrt{125}=5\sqrt{5}$

Answer:

$5\sqrt{5}$