What was "space" like before big bang? I have a simple question which I think about often but have no answer. 

If The Big Bang is true, than if the whole space was just a point 14 billion years ago, then what was around that point, some other kind of "space" or nothing? In latter case how do we define nothing.
This is a common question that comes up - one I've (at least tried to) answer a few times.

Let's try to understand what the Big Bang is. The Big Bang Theory is a model, and scientists came up with it when they observed the universe expanding - and thought that since the universe is now expanding it must have been smaller in the past. Running the clock backwards eventually means all of the universe was squeezed into a "singularity". Our physical models of the universe break down at this point - so we are not too sure of what the universe was like at the Big Bang.

Notice that I said the universe was squeezed into a singularity - not the stuff inside the universe. This means space-time was also compressed into a single point. The universe is not expanding out into empty space - it is space-time itself that is expanding. Hence, there was no "before" the Big Bang - time (as well as space) was created when the Big Bang happened. There is no outside the universe! This means there is no outside the Big Bang!

You can't go back in time and watch the Big Bang - since there is no universe or space (or time) outside the singularity. This can be very confusing, but I hope this helps!

For a few places to look for more info:

https://en.wikipedia.org/wiki/Planck_epoch

https://en.wikipedia.org/wiki/Big_Bang#Singularity