Simplify. $$ \sqrt{\frac{64}{49}} $$ Be sure to write your answer in simplest form.

Question

UpStudy AI · Accepted Answer

1. Rewrite the square root of the fraction as the fraction of the square roots:
   $$
   \sqrt{\frac{64}{49}} = \frac{\sqrt{64}}{\sqrt{49}}
   $$

2. Simplify both square roots individually:
   $$
   \sqrt{64} = 8 \quad \text{and} \quad \sqrt{49} = 7
   $$

3. Write the simplified fraction:
   $$
   \frac{\sqrt{64}}{\sqrt{49}} = \frac{8}{7}
   $$

Thus, the simplified form is $$\frac{8}{7}$$.
$$\frac{8}{7}$$

Simplify.

Be sure to write your answer in simplest form.