MCQ
A rational number between $\sqrt{2}$ and $\sqrt{3}$ is
- A$\frac{\sqrt{2}+\sqrt{3}}{2}$
- B$\frac{\sqrt{2} \cdot \sqrt{3}}{2}$
- ✓1.5
- D1.8
✓
Answer
Correct option: C.
1.5
(c)
We know that $\sqrt{2}=1.41421356 \ldots$ and $\sqrt{3}=1.732050807 \ldots$
We find that $\frac{\sqrt{2}+\sqrt{3}}{2}$ and $\frac{\sqrt{2} \cdot \sqrt{3}}{2}$ are irrational numbers. So, options (a) and (b) are incorrect.Clearly, 1.5 is a rational number between $\sqrt{2}$ and $\sqrt{3}$.
We know that $\sqrt{2}=1.41421356 \ldots$ and $\sqrt{3}=1.732050807 \ldots$
We find that $\frac{\sqrt{2}+\sqrt{3}}{2}$ and $\frac{\sqrt{2} \cdot \sqrt{3}}{2}$ are irrational numbers. So, options (a) and (b) are incorrect.Clearly, 1.5 is a rational number between $\sqrt{2}$ and $\sqrt{3}$.
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