# What is the square root of 144?

Apr 14, 2015

We can use the Prime Factorisation Technique to solve for the Square root of 144

$144 = 2 \cdot 2 \cdot 2 \cdot 2 \cdot 3 \cdot 3$
$144 = {2}^{4} \cdot {3}^{2}$

$\sqrt{144} = \sqrt{{2}^{4} \cdot {3}^{2}}$

$= \sqrt{{\left({2}^{2}\right)}^{2} \cdot {3}^{2}}$

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

$= 4 \cdot 3$

$= 12$

color(green)(sqrt 144 = 12