Question

prove that (2-√3)is irrational​

Answer 1

Let us assume that 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)/q

p,q are integers then (p+2q)/q is a rational number.

But this contradicts the fact that √3 is an irrational number.

So,our assumption is false.

Therefore,2+√3 is an irrational number.

Hence proved.

Answer 2

first assume the no. is rational and then proof your assumption wrong.