Question

Which of these is a rational number between $\sqrt{2}$ and $\sqrt{3}$ ?

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

Answer 1

The correct option is C $1.5$

$\sqrt{2}$ and $\sqrt{3}$ are equal to $1.412$ and $1.732$ respectively.
Considering the options given, $A$ and $B$ are irrational numbers and in $D,$

$1.8>$ $\sqrt{2}$ and $1.8>$ $\sqrt{3}$
Hence, $C$ is the correct answer.