Final answer:
The correct answer is A. √2.25, since 2.25 is a perfect square and its square root is 1.5, which can be expressed as a ratio of two integers, making it a rational number.
Step-by-step explanation:
The question asks us to identify which point on a number line represents a rational number. A rational number is one that can be expressed as the ratio of two integers. Looking at the options provided:
- A. √2.25 is a rational number because 2.25 is a perfect square and its square root is an integer, which is 1.5.
- B. √5 is an irrational number because 5 is not a perfect square and its square root cannot be expressed as a ratio of two integers.
- C. √8 is also an irrational number for the same reason as √5.
- D. pi (π) is an irrational number as it cannot be expressed as a ratio of two integers and its decimal representation is non-repeating and non-terminating.
Therefore, the correct answer is A. √2.25, which is a rational number.