Prove that 5^(2/3) is irrational
The Attempt at a Solution
I tried writing a proof but that is not getting me any where.
This is what I did so far -
Show that 52/3 is irrational
Proof: Suppose that 52/3 is rational:
52/3 = a/b
52/33/2 = a3/2/b3/2
5(b3/2) = a3/2
Substitute a = 2n + 1, b = 2m + 1;
I don't know if I'm suppose to do like this?