Find two rational number and two irrational number between $\sqrt{2}$ and $\sqrt{3}$.

Given: Two numbers $\sqrt{2}$ and $\sqrt{3}$.

To do: To find two rational number and two irrational number between $\sqrt{2}$ and $\sqrt{3}$.

$\Rightarrow \sqrt{2}=1.414=\frac{14}{10}$

$\Rightarrow \sqrt{3}=1.732=\frac{17}{10}$

So, $2$ rational numbers between$2$ and $3$

$\frac{15}{10},\ \frac{16}{10}$

Similarly $2$ irrational numbers between $2$ and $3$

$\frac{\sqrt{2}+\sqrt{3}}{2},\ \frac{\sqrt{2}+2}{2}$.