Show an example of an irrational number between 9 and 11.(1 point)

Question

Responses

100−−−√
start root 100 end root

20−−√
start root 20 end root

10−−√
start root 10 end root

99−−√
start root 99 end root

Answer 1

To find an irrational number between 9 and 11, we can consider the square roots of certain numbers.

1. \(\sqrt{100} = 10\) (which is rational and not between 9 and 11).
2. \(\sqrt{20}\) is approximately 4.47 (which is less than 9).
3. \(\sqrt{10}\) is approximately 3.16 (which is less than 9).
4. \(\sqrt{99}\) is approximately 9.95 (which is between 9 and 11 and is irrational).

Therefore, the correct answer would be:

\(\sqrt{99}\)

This is an example of an irrational number between 9 and 11.