Question

Which of the following is between pi and the square root of 11? (1 point)

• the square root of 8
• the square root of 7
• the square root of 12
• the square root of 10

Answer 1

To determine which of the given options is between \(\pi\) and \(\sqrt{11}\), we first need to approximate the values of \(\pi\) and \(\sqrt{11}\).

1. \(\pi \approx 3.14\)
2. \(\sqrt{11} \approx 3.316\) (since \(3.316^2 \approx 11\))

Now that we have approximate values for \(\pi\) and \(\sqrt{11}\), we can evaluate the options:

- \(\sqrt{8} \approx 2.828\) (not between \(\pi\) and \(\sqrt{11}\))
- \(\sqrt{7} \approx 2.646\) (not between \(\pi\) and \(\sqrt{11}\))
- \(\sqrt{12} \approx 3.464\) (not between \(\pi\) and \(\sqrt{11}\))
- \(\sqrt{10} \approx 3.162\) (between \(\pi\) and \(\sqrt{11}\))

Thus, the only option that is between \(\pi\) and \(\sqrt{11}\) is \(\sqrt{10}\).