To find a rational number x between two rational numbers \(\frac{a}{b}\) and \(\frac{c}{d},\) we use

\(\text{x} =\frac{1}{2}(\frac{a}{b}+\frac{c}{d})\)

**Therefore,** to find rational number x (let) between 2 and 3

\(\text{x}=\frac{1}{2}(2+3)\)

\(\Rightarrow\) \(\text{x}=\frac{1}{2}\times5\)

\(\Rightarrow\) \(\text{x}=\frac{5}{2}\)

We know that √2=1.414 and√3 =1.732 So rational no between √2and √3 are 1.432 , 1.563 , 1.576 , 1.711 so on….