Question

find two irrational number between 2/ 7 ,5/7​

Answer 1

Answer:

2/7and 5/7

3/7 and 4/7are the two rational number between 2/7and3/7

Answer 2

Answer:

The formula for finding an irrational number between two numbers is $\sqrt{a*b}$.

In this case a = $\frac{2}{7}$ and b = $\frac{5}{7}$

So, first irrational number between $\frac{2}{7}$ and $\frac{5}{7}$ is,

$\sqrt{\frac{2}{7}*\frac{5}{7}} = \sqrt{\frac{10}{49}} = \frac{1}{7}\sqrt{10}$

Second irrational number is,

$\sqrt{\frac{2}{7}*\frac{1}{7}\sqrt{10}} = \sqrt{\frac{2}{49}\sqrt{10}}=\frac{1}{7}\sqrt{2\sqrt{10}}$

Therefore two irrational numbers between $\frac{2}{7}$ and $\frac{5}{7}$ are $\frac{1}{7}\sqrt{10}$ and $\frac{1}{7}\sqrt{2\sqrt{10}}$.

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