# What is the square root of 5/32?

Sep 17, 2015

$\sqrt{\frac{5}{32}} = \frac{\sqrt{10}}{8}$
$\sqrt{\frac{5}{32}} = \frac{\sqrt{5}}{\sqrt{32}} = \frac{\sqrt{5}}{\sqrt{16 \cdot 2}} = \frac{\sqrt{5}}{\sqrt{16} \sqrt{2}} = \frac{\sqrt{5}}{4 \sqrt{2}} = \frac{\sqrt{5}}{4 \sqrt{2}} \frac{\sqrt{2}}{\sqrt{2}} = \frac{\sqrt{5 \cdot 2}}{4 \cdot 2} = \frac{\sqrt{10}}{8}$
This is an irrational number and in decimal form $0.3952847 \ldots$