Question

Prove( 2 - √3 ) is irrational ?

Answer 1

First, let us aasume that (2-√3) is a rational no.

Then 2 is also a rational no

2-(2-√3) is also a rational no

2-2+√3 is also a rational no

√3 is also a rational no

But this contradict the fact that √3 is irrational no.

This contadiction arrises when we started assuming that 2-√3 is a ration no.

This 2-√3 is an irrational no