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Prove that root 2 -1 is irrational

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Proof that sqrt(2) is irrational A proof that the square root of 2 is not a fraction

Proof that sqrt(2) is irrational A proof that the square root of 2 is not a fraction This is a proof by contradiction. Firstly, assume sqrt(2) is rational, i.e can be represented as the irreducible fraction m/n where m and n are integers. We have sqrt(2)=m/n. Squaring, and multiplying both sides by n2, we get m2 = 2*n2.

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