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## Homework Statement

Prove that 5^(2/3) is irrational

## Homework Equations

## 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 5

^{2/3}is irrational

Proof: Suppose that 5

^{2/3}is rational:

5

^{2/3}= a/b

^{52/33/2}= a

^{3/2}/b

^{3/2}

5(b

^{3/2}) = a

^{3/2}

Substitute a = 2n + 1, b = 2m + 1;

I don't know if I'm suppose to do like this?