Proof By Contradiction

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Proof by contradiction example discrete math:
Prove square root of 2 is irrational

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It's easy to wonder, "Why do we assume they're in lowest terms?" But note that if you reduce the 2q/2p to q/p, then you're in the same position you started in with a/b. So if we don't make that assumption, then we'll be stuck in an endless reduction loop.

rrh