Find two irrational numbers between `2`and `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=sqrt2xx2.5= sqrt5`
Irrational number between `2` and `sqrt5=sqrt2xxsqrt5=2^(1/2)xx5^(1/4)`
Irrational number between `sqrt5` and `2.5=sqrt5xx2.5`
`therefore` The three irrational numbers between 2 and 2.5 are `sqrt5` , `2^(1/2)xx5^(1/4)` and `(1/2)xx5^3/4xx2^(1/2)`