Write a pair of irrational numbers whose sum is rational.

Let $\sqrt{3} + 2 \text{ and } 5 - \sqrt{3}$ be two irrational numbers.

Sum of numbers

$= \sqrt{3} + 2 + 5 - \sqrt{3} \\[1em] = 7.$

7 is a rational number.

Hence, required pair = $\sqrt{3} + 2 \text{ and } 5 - \sqrt{3}$.