# What is square root of 0.01 + square root of 0.0064?

Sep 15, 2015

$\frac{18}{100}$

#### Explanation:

You know that

$0.01 = \frac{1}{100} \text{ }$ and $\text{ } 0.0064 = \frac{64}{10000}$

This means that you can write

$\sqrt{0.01} = \sqrt{\frac{1}{100}} = \frac{\sqrt{1}}{\sqrt{100}} = \frac{1}{10}$

and

$\sqrt{0.0064} = \sqrt{\frac{64}{10000}} = \frac{\sqrt{64}}{\sqrt{10000}} = \frac{8}{100}$

The original expression is thus equal to

$\sqrt{0.01} + \sqrt{0.0064} = \frac{1}{10} + \frac{8}{100} = \frac{10 + 8}{100} = \textcolor{g r e e n}{\frac{18}{100}}$