Question

Simplify:$\sqrt{\frac{45}{125}\hspace{0.17em}}$

Short answer

The required answer is$\frac{3}{5}$.

Step-by-step solution

Step 1. Given information.  

The given square root is$\sqrt{\frac{45}{125}}$.

Step 2. Simplify the given root. 

$\sqrt{\frac{45}{125}}$

Apply radical rule.

$$\begin{gathered} \sqrt{\frac{9}{25}} \\ =\frac{\sqrt{9}}{\sqrt{25}} \\ =\frac{3}{\sqrt{25}} \\ =\frac{3}{5} \end{gathered}$$