Question

Simplify:$\sqrt{\frac{300}{243}\hspace{0.17em}}$

Short answer

The required answer is$\frac{10}{9}$.

Step-by-step solution

Step 1. Given information. 

The given square root is$\sqrt{\frac{300}{243}}$.

Step 2. Simplify the given root.  

$\sqrt{\frac{300}{243}}$

Apply radical rule.

$$\begin{gathered} \sqrt{\frac{100}{81}} \\ =\frac{\sqrt{100}}{\sqrt{81}} \\ =\frac{10}{\sqrt{81}} \\ =\frac{10}{9} \end{gathered}$$