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

Question

Responses

10−−√
start root 10 end root

100−−−√
start root 100 end root

99−−√
start root 99 end root

20−−

Answer 1

To find an example of an irrational number between 9 and 11, we can consider the square root of a number that lies between \( 81 \) (which is \( 9^2 \)) and \( 121 \) (which is \( 11^2 \)). The number \( 99 \) lies between 81 and 121.

The square root of 99, written as \( \sqrt{99} \), is an irrational number. Therefore, \( \sqrt{99} \) is an example of an irrational number between 9 and 11.

So, the correct response is:

99−−√ start root 99 end root