show that 2 is irrational
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irrational is to first assume that its negation is true. Therefore, we assume that the opposite is true, that is, the square root of 2 is rational. ... Since we assume that 2 is rational, we must describe or express 2 as a rational number.
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To prove that the square root of 2 is irrational is to first assume that its negation is true. Therefore, we assume that the opposite is true, that is, the square root of 2 is rational. Since we assume that 2 is rational, we must describe or express 2 as a rational number.
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