Question

prove that √3+√4 is an irrational number?

Answer 1

assume root 3 + root4 as rational number
that is root3 +2 is rational number
so root3+2 =p/q........eq(1) where p and q are integers and q not equal to zero
root3 =p/q-2
root3 =(p-2q)/q so it is rational that is root3 rational number but this contradicts that root 3 is irrational hence our assumption is incorrect so root 3 plus root4 is irrational