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Prove that (5-2√3) is an rational number​

Answer»

<P>Answer:

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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