Final answer:
The square root of 6.25 is a rational number because 6.25 is a perfect square, and it is equal to 2.5, which is a ratio of two integers.
Step-by-step explanation:
The square root of 6.25 is a rational number. This is because 6.25 is a perfect square, which means it can be expressed as the product of a rational number multiplied by itself. Specifically, 6.25 is the square of 2.5, which is a rational number (2.5 = 25/10 which is the ratio of two integers). To find the square root of a number, you can express the number as a power of 2. For instance, if x² = √x, then in the case of 6.25 we would look for a number that when squared gives us 6.25. Since (2.5)² = 6.25, the square root of 6.25 is 2.5, which is rational as it can be expressed as a ratio of two integers (25/10).