Find irrational numbers between and. A rational real number, like 2, is one that can be written as a ratio of integers. Similarly, an irrational number appears fractional increment that is neither ending nor recurrent. Find irrational numbers between and: Since it is already known that the square root of is i.e., and the square root of is i.e.. As a result, the number of irrational numbers between and and and whose perfect square roots do not exist. Hence, the three irrational numbers between and are “and ”.