# What is the square root of (16/25)?

Sep 5, 2015

$\frac{4}{5}$
$\frac{16}{25} = \frac{4 \cdot 4}{5 \cdot 5} = \left(\frac{4}{5}\right) \cdot \left(\frac{4}{5}\right) = {\left(\frac{4}{5}\right)}^{2}$
So $\sqrt{\frac{16}{25}} = \sqrt{{\left(\frac{4}{5}\right)}^{2}} = \frac{4}{5}$
$- \frac{4}{5}$ is also a square root of $\frac{16}{25}$, but by convention when we say the square root, we tend to mean the positive one.