# How do you find the square root of 1/4?

Mar 9, 2018

$\frac{1}{2}$

#### Explanation:

We have:

$\sqrt{\frac{1}{4}}$

Using a simple observation, we got:

$= \sqrt{\frac{{1}^{2}}{{2}^{2}}}$

Using the properties, $\frac{{a}^{b}}{{c}^{b}} = {\left(\frac{a}{c}\right)}^{b}$.

So, we got

$= \sqrt{{\left(\frac{1}{2}\right)}^{2}}$

$= \pm \frac{1}{2}$

Since we are talking about real numbers, we will only take the principal (positive) square root, and so the answer will be just $\frac{1}{2}$.