Introduction:
Irrational numbers are those numbers that cannot be expressed as a ratio of two integers. They are non-repeating, non-terminating decimals. Rational numbers, on the other hand, can be expressed as a ratio of two integers.

Steps to find an irrational number between two rational numbers:
To find an irrational number between two rational numbers, follow these steps:

1. Find the difference between the two rational numbers.
2. Divide the difference by 2.
3. Add the result to the smaller of the two rational numbers.
4. The resulting number will be an irrational number that lies between the two rational numbers.

Example:
Let's find an irrational number between 1 and 2.

1. The difference between the two numbers is 2 - 1 = 1.
2. Divide the difference by 2: 1/2 = 0.5.
3. Add 0.5 to the smaller number: 1 + 0.5 = 1.5.
4. Therefore, 1.5 is an irrational number that lies between 1 and 2.

Explanation:
The process of finding an irrational number between two rational numbers involves finding the difference between the two numbers, dividing the difference by 2, and adding the result to the smaller number. This will give an irrational number that lies between the two rational numbers.

Conclusion:
Finding an irrational number between two rational numbers is easy if you follow the steps above. With these steps, you can find an infinite number of irrational numbers between any two rational numbers.

if the two rational numbers are a and b then irrational number between a and b is √a×b but here a×b shouldn't be perfect square