Find three irrational numbers between 2 and 2.5 .

If a and b are any two distinct positive rational numbers such that ab is not a perfect square, then the irrational number lies between a and b.
∴ Irrational number between 2 and 2.5 is , i.e
       Irrational number between 2 and is =  2^(1/2) × 5^(1/4)
Irrational number between and 2.5 is   =  
Thus, the three irrational numbers between 2 and 2.5 are , 2^(1/2) × 5^(1/4)and (1/2) × 5× 2.