MCQ
An irrational number between $\frac{1}{7}$ and $\frac{2}{7}$ is:
- A$\Big(\frac{1}{7}\times\frac{2}{7}\Big)$
- B$\frac{1}{2}\Big(\frac{1}{7}+\frac{2}{7}\Big)$
- ✓$\sqrt{\frac{1}{7}\times\frac{2}{7}}$
- DNone of these.
✓
Answer
Correct option: C.
$\sqrt{\frac{1}{7}\times\frac{2}{7}}$
An irrational number between $a$ and $b$ is given by $\sqrt{\text{ab}}.$
So, an irrational number between $\frac{1}{7}$ and $\frac{2}{7}$ is $\sqrt{\frac{1}{7}\times\frac{2}{7}}.$
So, an irrational number between $\frac{1}{7}$ and $\frac{2}{7}$ is $\sqrt{\frac{1}{7}\times\frac{2}{7}}.$
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