Question

How to prove 2+root 3 is irrational number

Answer 1

Let 2+√3 is a rational number.

A rational number can be written in the form of p/q.

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

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

Answer 2

Answer:

root 3 cannot be written in the form of rational number that is why it is a irrational number