What is a rational number that is between 5.2 and 5.5. what is a irrational number that is between 5.2 and 5.5.

5.2 < x < 5.5

square

5.2² < x² < 5.5²

27.04 < x² < 30.25

Pick any number for between 27.04 and 30.25 for x², as long as it's not a perfect square. So you could pick 30.

x² = 30

x = √30 → irrational number between 5.2 and 5.5