Find two irrational number between `2\ a n d\ 2. 5`

Explanation

Consider a and b are two distinct positive rational numbers which is not a perfect square.
The irrational number `sqrt(ab)` lies between `a` and `b`.
∴ Irrational number between `2` and `2.5` is `sqrt(2xx2.5)` , i.e. `sqrt5`
Irrational number between `2` and `sqrt5` is `sqrt2xxsqrt5=2^(1/2)xx5^(1/4)`
Thus the two irrational numbers between `2` and `2.5` are `sqrt5\ and \2^(1/2)xx5^(1/4)`