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

Question:

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

Solution:

(i) Let $(2+\sqrt{3)},(2-\sqrt{3})$ be two irrationals.

$\therefore(2+\sqrt{3})+(2-\sqrt{3})=4=$ rational number

(ii) Let $2 \sqrt{3}, 3 \sqrt{3}$ be two irrationals.

$\therefore 2 \sqrt{3} \times 3 \sqrt{3}=18=$ rational number