# How do you simplify the square root of 99?

May 28, 2016

$\sqrt{99} = 3 \sqrt{11}$

#### Explanation:

Using the property that for $a , b \ge 0$, $\sqrt{a b} = \sqrt{a} \cdot \sqrt{b}$, we have

$\sqrt{99} = \sqrt{9 \cdot 11}$

$= \sqrt{9} \cdot \sqrt{11}$

$= \sqrt{{3}^{2}} \cdot \sqrt{11}$

$= 3 \sqrt{11}$