To find the integers that are closest to the square root of 41 and complete the inequality, we will:
1. Calculate the square root of 41. The square root of 41 is approximately 6.403.
2. Find the integer immediately smaller than 6.403. This integer is 6.
3. Find the integer immediately greater than 6.403. This integer is 7.
So, the two integers that are closest to the square root of 41 are 6 and 7, respectively.
Therefore, we can complete the inequality as follows:
[tex]\[ 6 < \sqrt{41} < 7 \][/tex]
Thus the statement is:
[tex]\[ \boxed{6} < \sqrt{41} < \boxed{7} \][/tex]
