Question

prove that2-route3-4 is irrational

Answer 1

let root 2 root 3-4=p/q be a rational number
therefore p/q-4=2root3 or p-4q/2q=root3,
which is contradiction because root 3 is an irrational number and p-4q/2q is a rational
therefore our supposition is wrong and hence, 2root3-4 is irrational