Question

Question 8
A rational number between $\sqrt{2}$ and $\sqrt{3}$ is

A) $\frac{\sqrt{2}+\sqrt{3}}{2}$
B) $\frac{\sqrt{2}.\sqrt{3}}{2}$
C) 1.5
D) 1.8

Answer 1

The answer is C.
A rational number between $\left(\sqrt{2}and\sqrt{3}\right)$ i.e.1.414 and 1.732
(a) $\frac{\sqrt{2}+\sqrt{3}}{2}$, which is an irrational number, so it is not a solution.
(b) $\frac{\sqrt{2}.\sqrt{3}}{2}=\frac{\sqrt{6}}{2}$,which is an irrational number, so it is not a solution.
Now, 1.5 and 1.8 both are the rational numbers but only 1.5 lies between 1.414 and 1.732.