Question

Simplify:$\sqrt{\frac{100}{36}}$

Short answer

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

Step-by-step solution

Step 1. Given information. 

The given square root is$\sqrt{\frac{100}{36}}$.

Step 2. Simplify the given root.

$\sqrt{\frac{100}{36}}$

Apply radical rule.

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