Question

Simplify:$\sqrt{\frac{21}{196}\hspace{0.17em}}$

Short answer

The required answer is$\frac{\sqrt{3}}{2\sqrt{7}}$.

Step-by-step solution

Step 1. Given information.  

The given square root is$\sqrt{\frac{21}{196}}$.

Step 2. Simplify the given root.  

$\sqrt{\frac{21}{196}}$
Apply radical rule.

$$\begin{gathered} =\sqrt{\frac{3}{28}} \\ =\frac{\sqrt{3}}{\sqrt{28}} \\ =\frac{\sqrt{3}}{2\sqrt{7}} \end{gathered}$$