Question

Simplify:$\sqrt{\frac{144}{169}}$

Short answer

The required answer is $\frac{12}{13}$.

Step-by-step solution

Step 1. Given information.  

The given square root is$\sqrt{\frac{144}{169}}$.

Step 2. Simplify the given root. 

$\sqrt{\frac{144}{169}}$

Apply radical rule.

$$\begin{gathered} \frac{\sqrt{144}}{\sqrt{169}} \\ =\frac{12}{\sqrt{169}} \\ =\frac{12}{13} \end{gathered}$$