This is what I would do. First, I'll square each of the answer choices provided:
[tex] {9}^{2} = 81 \\ {8}^{2} = 64 \\ {7}^{2} = 49 \\ {6}^{2} = 36[/tex]
The value 52 lies between 64 and 49, which means that the square root of 52 lies between 8 and 7. The number 49 is closer to 52 compared to 64 thus the square root of 52 would be closer to 7 than 8. The answer is C. 7.
Hope this helps!
