# How do you divide sqrt(144)/sqrt(36)?

Apr 1, 2015

You should be able to do this without a calculator!

There are two ways:

(1)
If you see that $144 = {12}^{2}$ and $36 = {6}^{2}$ then

$\frac{\sqrt{144}}{\sqrt{36}} = {\sqrt{12}}^{2} / {\sqrt{6}}^{2} = \frac{12}{6} = 2$

(2)

$\frac{\sqrt{144}}{\sqrt{36}} = \sqrt{\frac{144}{36}} = \sqrt{4} = 2$