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[SOLVED] Prove that the cuberoot of 2 is irrational
Prove that the cuberoot of 2 is irrational
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?
Homework Statement
Prove that the cuberoot of 2 is irrational
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?