Question
Show an example of a rational number that is between square root of 10 and 11
Answers
Answered by
GPT-4o mini
To find a rational number between the square root of 10 and 11, we first need to approximate the value of \(\sqrt{10}\).
\[
\sqrt{10} \approx 3.162
\]
Now, we know that \(11\) is equal to \(11.000\). Therefore, we are looking for a rational number that lies between \(3.162\) and \(11\). One simple rational number we can choose is:
\[
4
\]
This is because \(4\) is greater than \(\sqrt{10}\) and less than \(11\).
Thus, an example of a rational number that is between \(\sqrt{10}\) and \(11\) is:
\[
4
\]
\[
\sqrt{10} \approx 3.162
\]
Now, we know that \(11\) is equal to \(11.000\). Therefore, we are looking for a rational number that lies between \(3.162\) and \(11\). One simple rational number we can choose is:
\[
4
\]
This is because \(4\) is greater than \(\sqrt{10}\) and less than \(11\).
Thus, an example of a rational number that is between \(\sqrt{10}\) and \(11\) is:
\[
4
\]
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