Question

simplify.
\sqrt{\frac{16}{25}}
be sure to write your answer in simplest form.

Explanation:

Step1: Apply square - root rule for fraction

$\sqrt{\frac{16}{25}}=\frac{\sqrt{16}}{\sqrt{25}}$

Step2: Calculate square - roots

$\sqrt{16} = 4$ and $\sqrt{25}=5$, so $\frac{\sqrt{16}}{\sqrt{25}}=\frac{4}{5}$

Answer:

$\frac{4}{5}$