Show an example of an irrational number between 9 and 11.(1 point)Responses 100−−−√start root 100 end root10−−√start root 10 end root99−−√start root 99 end root20−−√start root 20 end root

Answer 1

To find an irrational number between 9 and 11, we can look at the examples you provided:

1. \( \sqrt{100} = 10 \) (not irrational, it's a whole number)
2. \( \sqrt{10} \) (approximately \( 3.162 \), not between 9 and 11)
3. \( \sqrt{99} \) (approximately \( 9.95 \), which is between 9 and 11 and is irrational)
4. \( \sqrt{20} \) (approximately \( 4.472 \), not between 9 and 11)

From this, the irrational number between 9 and 11 is:

Response: \( \sqrt{99} \)