The length of sides of the square can be found using the Pythagorean theorem.
The diagonal of the square can be calculated as √(x^2 + x^2), where x is the length of the side of the square.
Given that the diagonal is 8, we can set up the equation as:
√(x^2 + x^2) = 8
2x^2 = 64
x^2 = 32
x = √32
Therefore, the length of the sides of the square is √32.
The answer is not showing up in the options provided, so we have to calculate it.
√32 = √(16*2) = √16 * √2 = 4√2
So, the correct option is A. 4√2