Write three rational numbers between $\sqrt{3} \text{ and } \sqrt{5}$.

We want three rational numbers between $\sqrt{3} \text{ and } \sqrt{5}$.

Consider any three rational numbers between 3 and 5 such that they are perfect squares.

Let us take 3.24, 4 and 4.84, such that $\sqrt{3.24} = 1.8, \sqrt{4} = 2 \text{ and } \sqrt{4.84} = 2.2$.

Thus, we have :

$\Rightarrow \sqrt{3} \lt 1.8 \lt 2 \lt 2.2 \lt \sqrt{5}$

Hence, three rational numbers between $\sqrt{3} \text{ and } \sqrt{5}$ are 1.8, 2 and 2.2