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Q.

There are ________ irrational numbers between two rational numbers.

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a

Infinite

b

Three

c

Zero

d

Finite

answer is A.

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Detailed Solution

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Let’s consider any two numbers.
For example, 34and 45
We know that34=0.75 and 45=0.8
For a number to be irrational, it has to be non-terminating and non-recurring.
Thus, infinite numbers can be found between 0.75 and 0.8 which are non-terminating and non-recurring.

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There are ________ irrational numbers between two rational numbers.