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Euclid's Proof that √2 is Irrational
Learn how Euclid proved that the square root of 2 is an irrational number.
But we can't go on simplifying an integer ratio forever, so there is a contradiction. Euclid's proof starts with the assumption that √2 is equal to a rational number p/q. There must eventually be a simplest rational number, but in our case there is not: we have a contradiction!
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