# What is the square root of 9/169?

May 3, 2018

$\frac{3}{13}$

#### Explanation:

Given: $\sqrt{\frac{9}{169}}$

$= \frac{\sqrt{9}}{\sqrt{169}}$

$= \frac{{\sqrt{3}}^{2}}{{\sqrt{13}}^{2}}$

$= \pm \frac{3}{13}$

From here, I will only take the principal square root, which will be,

$= \frac{3}{13}$