Question

Prove that (2- root 3) is an irrational.

Answer 1

let us assume that 2-root3 is rational so, we can find co-prime integer a and b .such that 2-root 3=a\b 2-a/b=√3 2b-a/b=√3. we know that a and b is integer.2b-a/b is a rational no. but√3 is irrational no. so it is irrational