Question

give an example of 2 irrational numbers where
(i) the difference is a rational number
(ii)sum is a rational number
(iii)product is rational
(iv)division is rational

Answer 1

(i) 2 + √3 and 3
as 2 + √3 - √3 = 2 which is rational
(ii) 4 + √5 and 4 - √5
as 4 + √5 + 4 - √5 = 8 which is rational
(iii)√5 and 4√5 
as √5 * 4√5 = 20 which is rational
(iv) 6√7 and 2√7
as 6√7 / 2√7 = 3 which is rational