(i) Give an example of two irrationals whose sum is rational. (ii) Give an example of two irrationals whose product is rational.

Answers:

(i)

Consider,

(2 + √3), (2 – √3) be two irrationals.

∴ (2 + √3) + (2 – √3) = 4 = rational number

(ii)

Consider,

2 √3, 3 √3 be two irrationals.

∴ 2 √3 × 3 √3 = 18 = rational number.