In my book, 2(L^{2}+X^{2})^{1/2}has been simplified to 2L(1+ X^{2}/L^{2})^{1/2. }

I was wondering how exactly have they factorized this? Also, the power of half cannot be removed because later on, I have to apply binomial to this, If someone would explain this to me, it'd be a big,big help. I've spent so much time on this.

This is actually a part of a physics question, and unless I don't get this part, I won't be able to solve it.

This is kinda urgent, I've got a big exam on tuesday, and it includes questions which involve this kind of simplification.

oh and, thank you in advance!