To find the value of \( \sqrt{40} \), we can look for perfect squares that are close to 40.
- The perfect square just below 40 is \( 36 \) (which is \( 6^2 \)), so \( \sqrt{36} = 6 \).
- The perfect square just above 40 is \( 49 \) (which is \( 7^2 \)), so \( \sqrt{49} = 7 \).
This means that \( \sqrt{40} \) is between \( 6 \) and \( 7 \).
Therefore, \( \sqrt{40} \) is between 6 and 7.