Question

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

Answer 1

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

$\begin{array}{rcl}\sqrt{2}& =& 1.414\\ \sqrt{3}& =& 1.732\\ 1.414& <& 1.5<1.732\end{array}$

$1.5$ is a rational number between $\sqrt{2}$ and $\sqrt{3}$.

Hence, $1.5$ is a rational number between $\sqrt{2}$ and $\sqrt{3}$.