simplify.\n$sqrt{\frac{4}{25}}$

Explanation:

Step1: Apply square - root property

The square - root of a fraction $\sqrt{\frac{a}{b}}=\frac{\sqrt{a}}{\sqrt{b}}$ ($a = 4$, $b = 25$), so $\sqrt{\frac{4}{25}}=\frac{\sqrt{4}}{\sqrt{25}}$.

Step2: Calculate square - roots

We know that $\sqrt{4}=2$ and $\sqrt{25}=5$. So $\frac{\sqrt{4}}{\sqrt{25}}=\frac{2}{5}$.

Answer:

$\frac{2}{5}$