Write two irrational numbers between $\sqrt{14} \text{ and } \sqrt{19}$

We want two irrational numbers between $\sqrt{14} \text{ and } \sqrt{19}$.

Consider any two numbers between 14 and 19 such that they are not perfect squares.

Let us take 15 and 17 as they are not perfect squares.

We know that square root of a non-perfect square is an irrational number.

∴ $\sqrt{15} \text{ and } \sqrt{17}$ are irrational numbers.

Thus, we have :

$\Rightarrow \sqrt{14} \lt \sqrt{15} \lt \sqrt{17} \lt \sqrt{19}$

Hence, two irrational numbers between

$\sqrt{14} \text{ and } \sqrt{19} \text{ are } \sqrt{15} \text{ and } \sqrt{17}$.