Question

Find two irrational number between 2 and 2.5.

Answer 1

1st Method : √(2 × 2.5) = √5

Since there is no rational number whose square is 5. So √5 is irrational.

Also √ 2 × √ 5 is a irrational number. 

2nd Method: 2.101001000100001.... is between 2 and 5 and it is non-recurring as well as non-terminating. 

Also, 2.201001000100001......... and so on