Q: will a booster help the range?

I assume that you are asking about extending the range of the wireless network using wireless only, correct?

Another AirPort Extreme or AirPort Express will provide additional wireless coverage if it is configured to "extend a wireless network" and then located approximately half the distance between the AirPort Extreme and the general area that needs more wireless coverage.

Apple's instructions to do this are here:

http://support.apple.com/kb/HT4259