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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 $\sqrt{3}$.
Solution:
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 $\sqrt{3}=\frac{3}{2}$.
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