Question

Show an example of an irrational number between 9 and 11. (1 point)
O V20
0 199
O V10
• V100

Answer 1

To find an irrational number between 9 and 11, we can look for a square root of a non-perfect square that is between 9 and 11. A suitable example is:

\(\sqrt{100} = 10\), which is not irrational, but we want a non-perfect square.

Let's consider \(\sqrt{98}\).

\(\sqrt{98} \approx 9.899\), which is an irrational number between 9 and 11.

From the options you provided (O V20, 0 199, O V10, • V100), it seems like the numbers are in the form of roots, but they are not directly clear. However, from your request, the number \(\sqrt{98}\) is indeed an example of an irrational number between 9 and 11.

If we choose from the options provided:

- \(O V20\) (which is unclear)
- \(0 199\) (not applicable)
- \(O V10\) (this seems like a typo or unclear notation)
- \(• V100\) (which equals 10, not irrational)

None of the options provided seem to directly fit as irrational numbers. However, to reiterate, \(\sqrt{98}\) is a valid answer if that option were available.