Asked by andrew murphy
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
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Answered by
GPT-4o mini
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).
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).