Question

Show an example of a rational number that is between V10 and V11.
(1 point)
•
3.4
3
16
5
• 3.1

Answer 1

To find a rational number between \( \sqrt{10} \) and \( \sqrt{11} \), we first need to compute approximate values for these square roots.

1. \( \sqrt{10} \approx 3.162 \)
2. \( \sqrt{11} \approx 3.317 \)

Now, we can find a rational number that lies between these two values. The given options are:

- 3.4
- 3
- 16
- 5
- 3.1

Out of these options, **3.1** is the only number that lies between \( 3.162 \) (approximately \( \sqrt{10} \)) and \( 3.317 \) (approximately \( \sqrt{11} \)).

Thus, a rational number between \( \sqrt{10} \) and \( \sqrt{11} \) is **3.1**.