Question

Simplify:$\sqrt{\frac{20}{81}\hspace{0.17em}}$

Short answer

The required answer is$\frac{2\sqrt{5}}{9}$.

Step-by-step solution

Step 1. Given information. 

The given square root is$\sqrt{\frac{20}{81}}$.

Step 2. Simplify the given root.  

$\sqrt{\frac{20}{81}}$
Apply radical rule.

$$\begin{gathered} \sqrt{\frac{20}{81}} \\ =\frac{\sqrt{20}}{\sqrt{81}} \\ =\frac{2\sqrt{5}}{\sqrt{81}} \\ =\frac{2\sqrt{5}}{9} \end{gathered}$$