# Find a rational number between

Question:

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

Solution:

$\sqrt{2}=1.41421 .$

$\sqrt{3}=1.73205 \ldots$

One of the rational number between them is $1.5=\frac{3}{2}$

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