Question

Show an example of an irrational number between nine and 11 and with the answer be square root of 100 square root of 99 square root of 20 or square root of 10

Answer 1

To find an irrational number between 9 and 11 using the provided options, we can evaluate each of them:

1. **\(\sqrt{100}\)** = 10 (not irrational)
2. **\(\sqrt{99}\)** ≈ 9.9499 (irrational and falls between 9 and 11)
3. **\(\sqrt{20}\)** ≈ 4.472 (not between 9 and 11)
4. **\(\sqrt{10}\)** ≈ 3.162 (not between 9 and 11)

So, the number that is an irrational number between 9 and 11 from the options given is:

\[\sqrt{99} \approx 9.9499\]