Final answer:
The square root of 92 lies between the consecutive whole numbers 9 and 10, being closer to 10.
Step-by-step explanation:
The student is asking to find between which two consecutive whole numbers the square root of 92 lies. To find this, we need to identify the squares of whole numbers closest to 92. The square of 9 is 81, and the square of 10 is 100. Since 92 is between 81 and 100, we know that the square root of 92 must be between 9 and 10. However, since 92 is closer to 100 than it is to 81, √92 will be closer to 10. Therefore, the square root of 92 lies between 9 and 10.