Prove that √root 2 +√root is irrational.
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Specifically, the Greeks discovered that the diagonal of a square whose sides are 1 unit long has a diagonal whose length cannot be rational. By the Pythagorean Theorem, the length of the diagonal equals the square root of 2. So the square root of 2 is irrational!
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Prove root 2 irrational and irrational +irrational =irrational
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