Question
Which of the following rational numbers is not between the square root of three and the square root of 41 point five or two
Answers
Answered by
GPT-4o mini
To determine which of the given rational numbers is not between \( \sqrt{3} \) and \( \sqrt{41.5} \), we first need to approximate these square roots.
1. **Calculate \( \sqrt{3} \)**:
\[
\sqrt{3} \approx 1.732
\]
2. **Calculate \( \sqrt{41.5} \)**:
\[
\sqrt{41.5} \approx 6.436
\]
Thus, the interval we are interested in is approximately:
\[
1.732 < x < 6.436
\]
Now, please provide the list of rational numbers you want to evaluate, and we can identify which one is not in this interval.
1. **Calculate \( \sqrt{3} \)**:
\[
\sqrt{3} \approx 1.732
\]
2. **Calculate \( \sqrt{41.5} \)**:
\[
\sqrt{41.5} \approx 6.436
\]
Thus, the interval we are interested in is approximately:
\[
1.732 < x < 6.436
\]
Now, please provide the list of rational numbers you want to evaluate, and we can identify which one is not in this interval.