Question

How do you simplify the square root of 0.01?

Answer 1

Hint: In the above question you were asked to find the square root of 0.01. The given question has a decimal number, so first, we will convert it to the fraction. After which we will find the root. So let us see how we can solve this problem.

Complete step by step solution:
Given that, we have to find the square root of 0.01. First, we will convert the decimal into a fraction.
So, $0.01 = \dfrac{1}{{100}}$
Taking the square root of $\dfrac{1}{{100}}$
 $= \sqrt {\dfrac{1}{{100}}}$
 $= \dfrac{1}{{10}}$
$= 0.1$

Therefore, the square root of 0.01 is 0.1.

Note:
For the given problem we found a proper fraction solution. To distinguish from another fraction, we can simply note that in which the denominator is larger than the numerator, then it is a proper fraction. We also need to check if the proper fraction is in the form of the lowest term or not. Other types of fractions are improper, mixed, like, unlike and equivalent fractions. Also, we have seen how we can find the square root of a decimal number.