Final answer:
The whole number and rational number to the nearest half that the square root of 40 falls between is 6.5 and 7.
Step-by-step explanation:
To find the whole number and rational number to the nearest half that the square root of 40 falls between, we can use a number line. The square root of 40 is approximately 6.32, which is between 6 and 7. We can further approximate it to the nearest half by choosing the whole number and rational number that it is closer to.
In this case, the square root of 40 is closer to 6.5 than 6.7, so the whole number and rational number to the nearest half is 6.5 and 7.