MCQ
An irrational number between $2$ and $2.5$ is:
- A$\sqrt{11}$
- ✓$\sqrt{5}$
- C$\sqrt{22.5}$
- D$\sqrt{12.5}$
✓
Answer
Correct option: B.
$\sqrt{5}$
$\sqrt{4}=2$ and $\sqrt{6.25}=2.5$
Option $(a), (c)$ and $(d): \sqrt{11},\sqrt{22.5}$ and $\sqrt{12.5},$ all are greater than $\sqrt{6.25}$
$\Rightarrow$ Out of interval $(2, 2.5)$
Option $(b): \sqrt{4}<\sqrt{5}<\sqrt{6.25} $
$\Rightarrow$ lies in the interval $(2, 2.5)$
Hence, option $(b)$ is correct.
Option $(a), (c)$ and $(d): \sqrt{11},\sqrt{22.5}$ and $\sqrt{12.5},$ all are greater than $\sqrt{6.25}$
$\Rightarrow$ Out of interval $(2, 2.5)$
Option $(b): \sqrt{4}<\sqrt{5}<\sqrt{6.25} $
$\Rightarrow$ lies in the interval $(2, 2.5)$
Hence, option $(b)$ is correct.
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