Doubt in the quant question in gre mini exam #24

GRE Quant Problem Solving
1

x and y are positive numbers.
quantity A quantity B
(xy)^1/2 (x+y)/2
Ans-D(relation cant be determined)
I think it should be B>A when I am putting the values.kindly explain what mistake I am making.THANKS

2

What if x = y = 1?

3

Thanks a lot!