To determine which of the given options is a rational number between 8 and 18, we will evaluate each option.
A. \( \sqrt{75} \)
Calculating \( \sqrt{75} \):
\[
\sqrt{75} \approx 8.66
\]
This is between 8 and 18, but it is not a rational number (it is an irrational number).
B. \( 8 - \frac{5}{1} \)
Calculating:
\[
8 - 5 = 3
\]
This is not between 8 and 18.
C. \( 8 - \frac{3}{1} \)
Calculating:
\[
8 - 3 = 5
\]
This is not between 8 and 18.
D. \( \sqrt{74} \)
Calculating \( \sqrt{74} \):
\[
\sqrt{74} \approx 8.60
\]
This is also between 8 and 18, but is not a rational number (it is an irrational number).
None of the options provided a rational number between 8 and 18.
However, since we are to conclude which one of these options is the best choice among the provided options as rational,
None of the options B and C provide rational values in the range.
The correct response based on this evaluation should ideally be an option that reflects that, as they have no valid rational numbers displayed.
If forced to pick the closest representation from the set of irrational numbers, it would be close to pointing towards A or D because they yield valid outputs, but they should be disqualified based on rational numerical outcomes.
Please recheck if additional steps might yield clearer results or provide more options to inspect!
20 answers