Give an example of each, of two irrational numbers whose: (i) difference is a rational number. (ii) difference is an irrational number. (iii) sum is a rational number. (iv) sum is an irrational number. (v) product is a rational number. (vi) product is an irrational number. (vii) quotient is a rational number. (viii) quotient is an irrational number.

Answer

(i)`3+sqrt(2),3-sqrt(2)` , (ii) `5+sqrt(5),-5+sqrt(5)`, (iii) `5+sqrt(3),3+sqrt(2)`, (iv) `5sqrt(3),3+sqrt(2)`, (v) `5+sqrt(3),5-sqrt(3)`, (vi) `2sqrt(3),sqrt(3)`, (vii) `sqrt(2)+1,5+sqrt(3)` ,(viii) `sqrt(2)+1,sqrt(2)-1`

Explanation

N/a