Question

Simplify:$\sqrt{\frac{75}{12}}$

Short answer

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

Step-by-step solution

Step 1. Given information. 

The given square root is$\sqrt{\frac{75}{12}}$.

Step 2. Simplify the given root. 

$\sqrt{\frac{75}{12}}$

Apply radical rule.

$$\begin{gathered} =\sqrt{\frac{25}{4}} \\ =\frac{\sqrt{25}}{\sqrt{4}} \\ =\frac{5}{\sqrt{4}} \\ =\frac{5}{2} \end{gathered}$$