Question

is 586/13 greater than
sqr/2,111

675/16

40

10sqr17

Answer 1

To compare \( \frac{586}{13} \) with the given values, let's first calculate \( \frac{586}{13} \):

\[
\frac{586}{13} = 45.076923 \ldots \approx 45.08
\]

Now, let's evaluate the other values one by one:

1. **\( \sqrt{2,111} \)**:
\[
\sqrt{2,111} \approx 45.97\ (\text{since } 45^2 = 2025 \text{ and } 46^2 = 2116)
\]

2. **\( \frac{675}{16} \)**:
\[
\frac{675}{16} = 42.1875
\]

3. **\( 40 \)** (already known).

4. **\( 10\sqrt{17} \)**:
\[
10\sqrt{17} \approx 10 \times 4.123 \approx 41.23
\]

Now, we can summarize the comparisons:

- \( \frac{586}{13} \approx 45.08 \)
- \( \sqrt{2,111} \approx 45.97 \)
- \( \frac{675}{16} \approx 42.1875 \)
- \( 40 \)
- \( 10\sqrt{17} \approx 41.23 \)

Now we compare \( \frac{586}{13} \) with each value:

- \( 45.08 < 45.97 \) (so, \( \frac{586}{13} \) is less than \( \sqrt{2,111} \))
- \( 45.08 > 42.1875 \) (so, \( \frac{586}{13} \) is greater than \( \frac{675}{16} \))
- \( 45.08 > 40 \) (so, \( \frac{586}{13} \) is greater than 40)
- \( 45.08 > 41.23 \) (so, \( \frac{586}{13} \) is greater than \( 10\sqrt{17} \))

**Final Summary**:
- \( \frac{586}{13} \) is greater than \( \frac{675}{16} \), 40, and \( 10\sqrt{17} \).
- \( \frac{586}{13} \) is less than \( \sqrt{2,111} \).