Question

How many irrational numbers can exist between two rational numbers?

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

Answer 1

The correct option is B Infinite number of irrational numbers

There 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 $\sqrt{2.1},\sqrt{2.13},\sqrt{2.15},\sqrt{2.32}\dots$
In this way, we can think of an infinite number of irrational numbers between any two rational numbers.