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How can we write any number between any two irrational number that is not recurring?
Solution:
We have to find a number between any two irrational numbers that is not recurring. This means a rational number$( terminating)$ number between two irrational numbers$( non-terminating\ and\ non\ repeating\ numbers)$.
Its is too simple and easy.
For example:- Writing rational number between two irrational numbers$( \sqrt{2}\ and\ \sqrt{3})$
As known that $\sqrt{2}=1.41...$ and $\sqrt{3}=1.73...$
There are many terminating numbers between $1.41...$ and $1.73...$
e.g. 1.41...$<1.5<1.6< 1.7<$1.73...
Thus, $1.5,\ 1.6,\ 1.7$ and many more are the rational numbers between two irrational numbers.
Updated on: 10-Oct-2022
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