Question

how will we find an irrational number between two irrational numbers?

Answer 1

Find the mean of both the numbers.
Irrational/rational= irrational.

Answer 2

HERE IS YOUR ANSWER

To find an irrational number between two irrational number, the easy way is to find their sum and divide the sum by 2. In this way you will get another irrational number which lies between those two irrational numbers.

Let me give an example.

We consider two irrational numbers √2 and √3.

An irrational number between √2 and √3 is given by (√2 + √3)/2.

Verification :

√2 = 1.414 (approximately)
√3 = 1.732 (approximately)

(√2 + √3)/2 = 1.573 (approximately), which lies between √2 and √3.

THANK YOU FOR YOUR QUESTION