Question

An irrational number between $\frac{1}{7}$ and $\frac{2}{7}$ is

• A. $\frac{1}{2}(\frac{1}{7}+\frac{2}{7})$
• B. $(\frac{1}{7}+\frac{2}{7})$
• C. $\sqrt{\frac{1}{7}\times \frac{2}{7}}$
• D. None of these

Answer 1

The correct option is C

$\sqrt{\frac{1}{7}\times \frac{2}{7}}$

$(\frac{1}{7}+\frac{2}{7})$ cannot lie in between

$\frac{1}{2}(\frac{1}{7}+\frac{2}{7})$ is not an irrational number.

An irrational number between $\frac{1}{7}$ and $\frac{2}{7}$ is $\sqrt{\frac{1}{7}\times \frac{2}{7}}$