Question

Find all the real square roots of $0.0036$.

Answer 1

Find square roots:

The number $0.0036$ can be written as $\frac{36}{10000}$.

Now the square root of the expression $\frac{36}{10000}$ is given by,

$\begin{array}{rcl}\sqrt{\frac{36}{10000}}& =& \frac{\sqrt{36}}{\sqrt{10000}}\\ & =& \pm \frac{6}{100}\\ & =& \pm 0.06\end{array}$

Hence, the square root of $0.0036$ is $\pm 0.06$.