Write 3 different irrational number lying between $\frac{5}{7}$&$ \frac{9}{7}$.

Given: The numbers are  $\frac{5}{7}$& $\frac{9}{7}$

To do: Find 3 irrational number between the given numbers.

Solution:

The numerators in this question are 5 and 7.

You can see denominators are same.

We know 5 = $\sqrt{25}$ and 9 = $\sqrt{81}$.

So, all square roots between $\sqrt{25}$ and $\sqrt{81}$ which are not perfect squares are irrational.

We can take $\sqrt{26}$,$\sqrt{26}$,$\sqrt{28}$

So, three irrational numbers are $\frac{\sqrt{26}}{7}, \frac{\sqrt{27}}{7} and \frac{\sqrt{28}}{7}$

Tutorialspoint

Updated on: 10-Oct-2022

42 Views

Kickstart Your Career

Get certified by completing the course

Get Started