# How do you simplify sqrt(0.36)?

Mar 2, 2018

$0.6$

#### Explanation:

Convert $0.36$ to $\frac{36}{100}$

So

$\sqrt{\frac{36}{100}}$

or

$\frac{\sqrt{36}}{\sqrt{100}}$

which is

$\frac{6}{10} = 0.6$

Mar 2, 2018

$0.6$

#### Explanation:

$\sqrt{0.36}$

$= \sqrt{\frac{36}{100}}$

$= \pm \frac{\sqrt{36}}{\sqrt{100}}$

$= \pm \frac{6}{10}$

$= \pm 0.6$

Now, we usually take the principal square root of a number over the set of real numbers $\left(\mathbb{R}\right)$, so the answer will be just $0.6$.