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Prove 3+2√5 is irrational

Answer» Yes it is irrational no.
Let 3+2root 5 be rational and 3+2root5 =r where r is rational.3+2root5=r2root5=r-3Root5=r-3\\2Thereforer-3/2 is rational Root5 is also rationalBut this is a contradiction as we know that root5 orrational.Therefore.3+2root5 is irrational


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