Question

Prove that 4-√3 is irrational

Answer 1

let 4-root 3 be a rationl number
=>4- root 3 = a/b
= 4-a/b = root 3
= 4b-a/b= root 3
now if p is a positive prime then root p is irrational.
therefore root 3 is an irrational
hence 4-root 3 is irrational.