Question

What is the square root of $0.9$?

Answer 1

The square root of $0.9$.

We know, $0.9=\frac{9}{10}$

Take the square root on both sides:

$$\begin{gathered} \sqrt{0.9}=\sqrt{\frac{9}{10}} \\ \Rightarrow \sqrt{0.9}=\sqrt{\frac{9}{10}\times \frac{10}{10}} \\ \Rightarrow \sqrt{0.9}=\sqrt{\frac{90}{100}} \\ \Rightarrow \sqrt{0.9}=\frac{1}{10}\sqrt{90}(\therefore \sqrt{90}=9.486) \\ \Rightarrow \sqrt{0.9}=\frac{1}{10}\times 9.486 \\ \Rightarrow \sqrt{0.9}=0.9486 \end{gathered}$$

Hence, the square root of $0.9$ is $0.9486$.