To find the range in which \( \sqrt{40} \) lies, we can approximate it by finding the square roots of perfect squares that are close to 40.
We know that:
- \( 6^2 = 36 \)
- \( 7^2 = 49 \)
This tells us that:
\[ 6 < \sqrt{40} < 7 \]
To get a more accurate approximation, we can calculate \( \sqrt{40} \):
\[ \sqrt{40} \approx 6.324 \]
Thus, we can conclude that:
\[ \sqrt{40} \text{ is between } 6 \text{ and } 7. \]