# How do you find the square root of 180?

Aug 10, 2015

$180 = 2 \cdot 2 \cdot 3 \cdot 3 \cdot 5 = {2}^{2} \cdot {3}^{2} \cdot 5$
$= \sqrt{{2}^{2} \cdot {3}^{2} \cdot 5} = 2 \cdot 3 \cdot \sqrt{5} = 6 \sqrt{5} \approx 6 \cdot 2.236 \ldots \approx 13.416 \ldots$