I am trying to prove or disprove that the cube root of 5 is an irrational number.
I have tried using a proof by contradiction, although am not convinced that I have a good answer.
Can anyone help please?
If you are not familiar with the rational-root theorem, you can still tackle the problem directly.
Assume that is rational, so where and .
If you then plug this back into the equation, you would find that 5 divides as well, contradicting the assumption that and are coprime.