MCQ
An irrational number between 5 and 6 is
- A$\frac{1}{2}(5+6)$
- B$\sqrt{5+6}$
- ✓$\sqrt{5 \times 6}$
- Dnone of these
✓
Answer
Correct option: C.
$\sqrt{5 \times 6}$
(c)
We observe that $\frac{1}{2}(5+6)$ is a rational number between 5 and 6. So, option (a) is in correct.
$\sqrt{5+6}=\sqrt{11}=3.3166247 \ldots$ is an irrational number not lying between 5 and 6.
$\sqrt{5 \times 6}$ is an irrational number lying between $\sqrt{5}$ and $\sqrt{6}$.Hence, option (c) is correct.
We observe that $\frac{1}{2}(5+6)$ is a rational number between 5 and 6. So, option (a) is in correct.
$\sqrt{5+6}=\sqrt{11}=3.3166247 \ldots$ is an irrational number not lying between 5 and 6.
$\sqrt{5 \times 6}$ is an irrational number lying between $\sqrt{5}$ and $\sqrt{6}$.Hence, option (c) is correct.
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