Final answer:
The square root of 41 is between two consecutive integers, which are 6 and 7. The closest perfect squares to 41 are 36 (6²) and 49 (7²), confirming these integers as the correct answer.
Step-by-step explanation:
The question asks to identify the two consecutive integers between which the square root of 41 lies. To solve this, look for the perfect squares closest to 41. The closest perfect squares are 36 (6²) and 49 (7²). This indicates that the square root of 41 falls between the square roots of these two numbers, which are 6 and 7, respectively.
Therefore, the square root of 41 is between the integers 6 and 7. Option B, which is 6,7, is the correct answer.