Question

Simplify:$\sqrt{\frac{72}{98}}$

Short answer

The required answer is$\frac{6}{7}$.

Step-by-step solution

Step 1. Given information.  

The given square root is$\sqrt{\frac{72}{98}}$.

Step 2. Simplify the given root.  

$\sqrt{\frac{72}{98}}$

Apply radical rule.

$$\begin{gathered} \sqrt{\frac{72}{98}} \\ =\frac{\sqrt{36}}{\sqrt{49}} \\ =\frac{6}{\sqrt{49}} \\ =\frac{6}{7} \end{gathered}$$