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1. The problem statement, all variables and given/known data

Prove that the cuberoot of 2 is irrational

3. The attempt at a solution

Assume it is rational, and find a contradiction.

2^(1/3) = a/b, where a, b are integers, where a/b is in lowest terms, and where b != 0.

2 = a^3 / b^3

2b^3 = a^3

Aaaand stuck.

Can someone give me a little push?

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# Homework Help: Prove that the cuberoot of 2 is irrational

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