Question

examine weather following No. are rational as irrational 3+root3

Answer 1

3 + root3 is an irrational number.

Hope it helps you.

Answer 2

let 3+√3 be rational. 3+√3 =p/q. where land q are co primes . q is not = to 0 . √3 = p/q -3 . but land q are rational . so p/q is also rational . but √3 is irrational . there is a contradiction . so our assumption is incorrect. 3+√3 is irrational