Question

simplify.
\sqrt{\frac{16}{36}}
be sure to write your answer in simplest form.

Explanation:

Step1: Use the property of square roots $\sqrt{\frac{a}{b}}=\frac{\sqrt{a}}{\sqrt{b}}$

$\sqrt{\frac{16}{36}}=\frac{\sqrt{16}}{\sqrt{36}}$

Step2: Calculate the square roots of numerator and denominator

$\sqrt{16} = 4$, $\sqrt{36}=6$

Step3: Simplify the fraction

$\frac{4}{6}=\frac{2}{3}$

Answer:

$\frac{2}{3}$