Question

What is the square root of $0.4$?

Answer 1

Determine the square root of $0.4$.

Since,$0.4=\frac{4}{10}$

Taking square root from both sides.

$$\begin{gathered} \sqrt{0.4}=\sqrt{\frac{4}{10}} \\ \Rightarrow \sqrt{0.4}=\sqrt{\frac{4}{10}\times \frac{10}{10}} \\ \Rightarrow \sqrt{0.4}=\sqrt{\frac{40}{100}} \\ \Rightarrow \sqrt{0.4}=\frac{1}{10}\sqrt{40}(\therefore \sqrt{40}=6.3245553) \\ \Rightarrow \sqrt{0.4}=\frac{1}{10}\times 6.3245553 \\ \Rightarrow \sqrt{0.4}=0.63245553 \end{gathered}$$

Hence, the square root of $0.4$ is$"0.63245553"$.