# How do you simplify without a calculator the sqrt(0.01)?

Mar 3, 2018

The answer is $0.1$.

#### Explanation:

You can do an action, (then do some stuff with it) and then do it's opposite to cancel it back.

In this case, I'm going to multiply the radical by $10$, bring the $10$ inside the radical, and then divide it all by $10$. Here's what happens:

$\textcolor{w h i t e}{=} \sqrt{0.01}$

$= \frac{\textcolor{red}{10} \sqrt{0.01}}{\textcolor{red}{10}}$

$= \frac{\sqrt{0.01 \cdot {10}^{2}}}{10}$

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

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

$= \frac{1}{10}$

$= 0.1$