Square root of floating point numbers

Question

How can i calculate squareroot of 0.0004. How i deal with .000 section. can anyone explain? I know how to find the square root of normal numbers but the 0.000 section is hard to find.

Answer 1

$\sqrt{a \cdot 10^{-2b}} =\sqrt{a}\cdot 10^{-b}$ and $\sqrt{a \cdot 10^{-(2b+1)}} =\sqrt{10a}\cdot 10^{-(b+1)}$.

Answer 2

$$ \frac{\sqrt{10000 x}}{100} = \sqrt x $$ here $x$ is 0.0004, what is $10000x \; \; ? \;$