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

Given: Number $\sqrt{2}$ and $\sqrt{3}$.

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

As known rational number between two number $a$ and $b=\frac{a+b}{2}$

Rational number between $\sqrt{2}$ and  $\sqrt{3}=\frac{\sqrt{2}+\sqrt{3}}{2}=\frac{1.414+1.732}{2}$

                                                                                    $ =1.5$

                                                                                    $ =\frac{15}{10}$

                                                                                   $  =\frac{3}{2}$

The rational number between $\sqrt{2}$ and $\sqrt{3}=\frac{3}{2}$.