Question

A rational number lying between $\sqrt{2}$ and $\sqrt{3}$ is :

• A. $\frac{\sqrt{2}+\sqrt{3}}{2}$
• B. $\sqrt{6}$
• C. $1.6$
• D. $1.9$

Answer 1

The correct option is C $1.6$

$\sqrt{2}\cong \mathrm{1.41....}$ and $\sqrt{3}\cong \mathrm{1.73...}$

Now we see that option $A$ is irrational number, so it is incorrect ,

and option $B$ is irrational number, so it is also incorrect.

But, option $C$ is rational number and lies between the given numbers, so it is correct,

and option $D$ is rational number but it does not lie between the given numbers, so it is incorrect.

Therefore, option $D$ is correct.