Question

simplify.
\sqrt{\frac{9}{100}}
be sure to write your answer in simplest form.

Explanation:

Step1: Use square root property

Recall that $\sqrt{\frac{a}{b}}=\frac{\sqrt{a}}{\sqrt{b}}$ for $a\geq0$ and $b > 0$. So, $\sqrt{\frac{9}{100}}=\frac{\sqrt{9}}{\sqrt{100}}$.

Step2: Simplify square roots

We know that $\sqrt{9} = 3$ (since $3\times3 = 9$) and $\sqrt{100}=10$ (since $10\times10 = 100$). So, $\frac{\sqrt{9}}{\sqrt{100}}=\frac{3}{10}$.

Answer:

$\frac{3}{10}$