# How do you simplify sqrt(147)?

May 8, 2016

$\sqrt{147} = 7 \sqrt{3}$
If $a , b \ge 0$ then $\sqrt{a b} = \sqrt{a} \sqrt{b}$
$\sqrt{147} = \sqrt{{7}^{2} \cdot 3} = \sqrt{{7}^{2}} \cdot \sqrt{3} = 7 \sqrt{3}$