I was doing a math question and it said that (m^2-(m^2/2))^1/2 equals (m/(2^1/2) how is that possible?

$$\left(m^2-\frac{m^2}{2}\right)^{0.5}=\frac{m}{\sqrt2}$$

I had to write it out like this to get my head around it.

$$\mbox{LHS}
=\left(\frac {2m^2-m^2}{2}\right)^{0.5}\\\\
=\left(\frac {m^2}{2}\right)^{0.5}\\\\
=\frac {m}{\sqrt2}\\\\
=RHS$$

This is true because you are multipling everything by a half so the 2 stays the same and the bottom 2 changes to a half.