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Question

# How many irrational numbers can exist between two rational numbers?

A
Only one irrational number
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B
Infinite number of irrational numbers
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C
Exactly two irrational numbers
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D
No irrational numbers
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Solution

## The correct option is B Infinite number of irrational numbersThere are infinite number of irrational numbers between two rational numbers. Take any two rational numbers like 2 and 3. Irrational numbers between 2 and 3 are √2.1,√2.13,√2.15,√2.32… In this way, we can think of an infinite number of irrational numbers between any two rational numbers.

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