Question

Estimate the value of root 52 to the nearest whole number. A. 9 B. 8 C. 7 D. 6

Answer 1

This is what I would do. First, I'll square each of the answer choices provided:


`{9}^(2) = 81 \\ {8}^(2) = 64 \\ {7}^(2) = 49 \\ {6}^(2) = 36`

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!