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

Question

Responses

20−−√
start root 20 end root

10−−√
start root 10 end root

100−−−√
start root 100 end root

99−−√
start root 99 end root

Answer 1

An example of an irrational number between 9 and 11 is \( \sqrt{99} \).

To clarify:

• \( \sqrt{9} = 3 \), so \( \sqrt{99} \) is between \( 3 \) (since \( 3^2 = 9 \)) and \( 4 \) (since \( 4^2 = 16 \)).
• Therefore, \( \sqrt{99} \) is approximately \( 9.95 \), which is between \( 9 \) and \( 11 \).

The correct response from the options provided is:

99−−√.