Prove root3+2 is irrational

1.	Prove root3+2 is irrational
Answer» Let 2+√3 is a rational number.A rational number can be written in the form of p/q.2+√3=p/q√3=p/q-2√3=(p-2q)/qp,q are integers then (p-2q)/q is a rational number.But this contradicts the fact that √3 is an irrational number.So,our supposition is false.Therefore,2+√3 is an irrational number.Hence proved.

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