Prove that 5-2√3 is irrational

1.	Prove that 5-2√3 is irrational
Answer» let,5 - 2√3 be a rational number..°. 5 - 2√3 = p/q [ where p and q are integer , q ≠ 0 and q and p are co- prime number ]=> - 2√3 = p/q -5=>- 2√3 = p - 5q / q=> √3 = p - 5q / - 2qwe know that p/q is a rational number..°. √3 is also a rational number.This contradicts our assumption5 - 2√3 is an irrational number

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