Question

Simplify:$\sqrt{\frac{49}{64}}$

Short answer

The required answer is$\frac{7}{8}$.

Step-by-step solution

Step 1. Given information.  

The given square root is$\sqrt{\frac{49}{64}}$.

Step 2. Simplify the given root.  

$\sqrt{\frac{49}{64}}$

Apply radical rule.

$$\begin{gathered} \frac{\sqrt{49}}{\sqrt{64}} \\ =\frac{7}{\sqrt{64}} \\ =\frac{7}{8} \end{gathered}$$