An irrational number between 1 7 and 2 7 is - Vidyadip

MCQ

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

A
$\sqrt{\frac{1}{7} \times \frac{2}{7}}$
B
$\frac{1}{2}\left(\frac{1}{7}-\frac{2}{7}\right)$
C
$\left(\frac{1}{7} \times \frac{2}{7}\right)$
D
$\frac{1}{2}\left(\frac{1}{7}+\frac{2}{7}\right)$

✓

Answer

(a) $\sqrt{\frac{1}{7} \times \frac{2}{7}}$
Explanation: An irrational number between a and b is given by $\sqrt{a b}$.
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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