Prove that √2 is not a rational number

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asked Dec 5, 2021 16.9k views

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Edward · Answer 1 · 2021-12-09T17:36:07+0000

Answer:

Because we started the whole process assuming that a/b was simplified to lowest terms, and now it turns out that a and b both would be even. We ended at a contradiction; thus our original assumption (that √2 is rational) is not correct. Therefore √2 cannot be rational.

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Prove that √2 is not a rational number

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Prove that √2 is not a rational number