Prove that 3 - 2√5 is irrational
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5 - 2 √3 = p/q, where p and q are integers, having no common factor except 1 and q ≠ 0. ... Therefore, √3 is also a rational number, which contradicts our assumption. Thus, Our supposition is wrong. Hence, 5 - 2 √3 is an irrational number
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