How do you simplify 3 square root of 5/64?

Jun 23, 2018

Answer:

$3 \sqrt{\frac{5}{64}} = \textcolor{b l u e}{\frac{3}{8} \sqrt{5}}$

Explanation:

$3 \sqrt{\frac{5}{64}}$
$\textcolor{w h i t e}{\text{XXX}} = 3 \times \frac{\sqrt{5}}{\sqrt{64}} = 3 \times \frac{\sqrt{5}}{8} = \frac{3}{8} \sqrt{5}$