Insert a rational number and an irrational number between the following: $\sqrt{2}$ and $\sqrt{3}$

The decimal expansions are $\sqrt{2} \approx 1.4142135 \ldots$ and $\sqrt{3} \approx 1.7320508 \ldots$
$1$. Rational Number: $A$ terminating decimal like $1.5$ lies between $1.4142135 \ldots$ and $1.7320508 \ldots$. Since $1.5 = \frac{15}{10} = \frac{3}{2}$,it is a rational number.
$2$. Irrational Number: $A$ non-terminating and non-recurring decimal like $1.575575557 \ldots$ lies between $1.4142135 \ldots$ and $1.7320508 \ldots$. Thus,$1.575575557 \ldots$ is an irrational number.