Which of the following options correctly proves the conjectured relationship about the relative sizes of the expressions (xy)/2 and √{(x²y²)/2}?
A. (xy)/2 > √{(x²y²)/2}
B. (xy)/2 < √{(x²y²)/2}
C. (xy)/2 = √{(x²y²)/2}
D. The relationship cannot be determined without additional information.