# How do you simplify sqrt120?

May 16, 2015

$120 = 2 \cdot 2 \cdot 2 \cdot 3 \cdot 5 = {2}^{2} \cdot 30$

So $\sqrt{120} = \sqrt{{2}^{2} \cdot 30} = \sqrt{{2}^{2}} \sqrt{30} = 2 \sqrt{30}$