Class 9 Math All topics Number Systems
Find three different irrational numbers between the rational numbers and .
Solution:
and .
Here, the two decimal expansions are non-terminating recurring.
Hence,  and  are two rational numbers.

We know, between any two rational numbers, there are infinitely many irrational numbers.
An irrational number has non-terminating non-recurring decimal expansions.

Then three different irrational number between  and  can be:

NOTE:
This is three of the various possible answers. It might have different solution.

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