Write a pair of irrational numbers whose difference is rational.

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

Difference of numbers

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

3 is a rational number.

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