Final answer:
The smallest integer greater than the square root of 85 is 10, as the square root of 85 is approximately 9.22 and the next whole number is 10.
Step-by-step explanation:
The question asks, "What is the smallest integer greater than the square root of 85?" To answer this, we must first calculate the square root of 85, which is approximately 9.22. Since we are looking for the smallest integer greater than the square root of 85, the answer must be the next whole number after 9.22, which is 10.
Here is the list of options:
Therefore, the correct answer is a) 10.