Prove that 5 + √3 is an irrational number

1.	Prove that 5 + √3 is an irrational number
Answer» Let us assume that\xa05\xa0+√3 is rational.Let ,\xa05 +√3 = r , where "r" is rational5 + r =\xa0√3Here,LHS is purely rational.But,on the other hand ,RHS is irrational.This leads to a contradiction.Hence,5+√3 is irrational\xa0.\xa0

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