prove that (5-2√3) is an rational number
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5 - 2 √3 = p/q, where p and q are integers, having no common factor except 1 and q ≠ 0. Since, 5q - p/2q is a rational number as p and q are integers. Therefore, √3 is also a rational number, which contradicts our assumption.
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Therefore , 5-√3 is irrational
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