# What is the square root of 0.36?

Apr 19, 2018

$\pm 0.6$

#### Explanation:

Since $\sqrt{36} = \pm 6$, we know that $6$ is the square factor of $36$, and we know $\sqrt{36}$ will be greater in magnitude than $\sqrt{0.36}$. Therefore, we can try $0.6$: $\left(0.6\right) \cdot \left(0.6\right) = 0.36$. This means $\sqrt{0.36} = \pm 0.6$

Apr 19, 2018

$\pm 0.6$
$\text{note that } 0.36 = \frac{36}{100}$
$\Rightarrow \sqrt{0.36} = \pm \sqrt{\frac{36}{100}} = \pm \frac{\sqrt{36}}{\sqrt{100}} = \pm \frac{6}{10} = \pm 0.6$