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Find two rational number and two irrational number between $\sqrt{2}$ and $\sqrt{3}$.
Given: Two numbers $\sqrt{2}$ and $\sqrt{3}$.
To do: To find two rational number and two irrational number between $\sqrt{2}$ and $\sqrt{3}$.
Solution:
$\Rightarrow \sqrt{2}=1.414=\frac{14}{10}$
$\Rightarrow \sqrt{3}=1.732=\frac{17}{10}$
So, $2$ rational numbers between$2$ and $3$
$\frac{15}{10},\ \frac{16}{10}$
Similarly $2$ irrational numbers between $2$ and $3$
$\frac{\sqrt{2}+\sqrt{3}}{2},\ \frac{\sqrt{2}+2}{2}$.
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