To find the two whole numbers between which \( \sqrt{40} \) lies, we can evaluate the perfect squares that are closest to 40.
-
First, calculate the squares of whole numbers:
- \( 6^2 = 36 \)
- \( 7^2 = 49 \)
-
Since \( 36 < 40 < 49 \), it follows that:
- \( 6 < \sqrt{40} < 7 \)
Thus, \( \sqrt{40} \) is between 6 and 7.
So, the answer is:
The \( \sqrt{40} \) is between 6 and 7.