Find two irrational numbers Between 2 And 2.5

To do: 

Find two irrational numbers Between 2 And 2.5

Solution:

If a and b are two distinct rational numbers and if

ab is the not the square of a rational number, then 

√ab is an irrational number lying between a an b One irrational number between 2 and 2.5 is √(2 x 2.5) = √5

Another irrational number between 2 and √5 is √(2√5)

So, two irrational numbers between 2 and 2.5 are √5 and √(2√5)