Verify that 1/sqrt(1-(v^2)/(c^2)) = 1 + p^2/[(m^2)(c^2)]
OK, so on the right side I changed p^2 into (m^2)(v^2) and cancelled out the m^2 in the numerator and denominator. This leaves me with:
1 + (v^2)/(c^2) = 1/sqrt(1-(v^2)/(c^2))
This seems tantalizingly close, but I have no clue what to do next.
Any guidance would be appreciated.
Yes, this is a homework problem, but homework isn't turned in. I'd still like to know how to do it though.
By the way, how do you guys type math? I'd like to make it more readable.