Question
*You will want to hold down
the ctrl key when clicking on
the Desmos link, so you don't
lose your place in this test.The √40 is between and
.
the ctrl key when clicking on
the Desmos link, so you don't
lose your place in this test.The √40 is between and
.
Answers
GPT-4o mini
To find the approximate value of \(\sqrt{40}\), we can assess the perfect squares around it.
1. The perfect square just below 40 is \(36\), which is \(6^2\).
2. The perfect square just above 40 is \(49\), which is \(7^2\).
This tells us that:
\[
6 < \sqrt{40} < 7
\]
To get a more precise approximation, we can calculate it:
\[
\sqrt{40} \approx 6.32
\]
So, we can conclude that \(\sqrt{40}\) is between \(6\) and \(7\).
Thus, the final answer is:
\[
\sqrt{40} \text{ is between } 6 \text{ and } 7.
\]
1. The perfect square just below 40 is \(36\), which is \(6^2\).
2. The perfect square just above 40 is \(49\), which is \(7^2\).
This tells us that:
\[
6 < \sqrt{40} < 7
\]
To get a more precise approximation, we can calculate it:
\[
\sqrt{40} \approx 6.32
\]
So, we can conclude that \(\sqrt{40}\) is between \(6\) and \(7\).
Thus, the final answer is:
\[
\sqrt{40} \text{ is between } 6 \text{ and } 7.
\]