Question

Prove that √x+√y is irrational, where x and y are prime

Answer 1

Hey mate here is your answer:

let assume X +√y be rational no. then x+√y=p/q (Where p and q are integers and co-prime) => √y= p/q- x => √y is rational no. but, it contradict the fact √y is. irrational (I. e. given in question) hence, contradiction ,so x+√y is irrational.

I hope this will help you.