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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 $\frac{\sqrt{26}}{7}, \frac{\sqrt{27}}{7} and \frac{\sqrt{28}}{7}$
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