Numbers Between Rational Numbers Quick Check 1 of 51 of 5 Items Question Show an example of an irrational number between 9 and 11.(1 point) Responses 10−−√ start root 10 end root 20−−√ start root 20 end root 100−−−√ start root 100 end root 99−−√ start root 99 end root Skip to navigation

Answer 1

To find an irrational number between 9 and 11, we can look for a square root of a number that lies between 81 and 121 (since \( 9^2 = 81 \) and \( 11^2 = 121 \)).

Among the options provided, \(\sqrt{99}\) is an irrational number and lies between 9 and 11:

\[ 9 < \sqrt{99} < 11 \]

Thus, the response is: \(\sqrt{99}\) (start root 99 end root).