Question

What is the square root of 0.4?

Answer 1

Hint: In this problem, we have to find the square root of the given decimal form. We can first write the decimal form into its fraction form. We can then find the square root for it as we have a perfect square number to get an exact value for the given decimal number.

Complete step by step solution:
Here we have to find the square root for the given decimal number 0.04.
We know that the given decimal to be converted into fraction is 0.04
Now we can write it in fraction form, as we can write the denominator as 1, we get
\[\Rightarrow \dfrac{0.4}{1}\]
Now we can multiply 10 on both the numerator and the denominator.
\[\Rightarrow \dfrac{0.4}{1}\times \dfrac{10}{10}\]
Now we can multiply the above step in both the numerator and the denominator, we get
\[\Rightarrow \dfrac{4}{10}\]
We can now take square root on numerator and the denominator, we get
\[\Rightarrow \sqrt{\dfrac{4}{10}}=\sqrt{\dfrac{2}{5}}\]
We can now simplify the above step, we get
\[\Rightarrow \sqrt{\dfrac{4}{10}}=\sqrt{\dfrac{2}{5}}=0.6324\]
Therefore, the square root of 0.4 is 0.6324.

Note: Students make mistakes while moving the decimal points to the left or write, which should be concentrated. We should know how to deal with decimal points to solve these types of problems. We should know which number should be multiplied to the given decimal as we have a decimal place in one point. We can multiply the given number to ten, if we have decimal in two points, then we can multiply 100 for the given number.