# What is the square root of 25 over 144?

May 31, 2018

See a solution process below:

#### Explanation:

If the question is: What is $\sqrt{\frac{25}{144}}$?

We can use this rule for radicals to simplify the expression:

$\sqrt{\frac{\textcolor{red}{a}}{\textcolor{b l u e}{b}}} = \frac{\sqrt{\textcolor{red}{a}}}{\sqrt{\textcolor{b l u e}{b}}}$

$\sqrt{\frac{\textcolor{red}{25}}{\textcolor{b l u e}{144}}} \implies \frac{\sqrt{\textcolor{red}{25}}}{\sqrt{\textcolor{b l u e}{144}}} \implies \frac{5}{12}$

May 31, 2018

$\frac{5}{12}$
$25 = {5}^{2}$
and $144 = {12}^{2}$
$\sqrt{\frac{25}{144}} = \frac{5}{12}$