Pls help with Power-Prep algebra question

is the answer II only?

yes OA Is C

When in doubt- plug in numbers. The question says x and y are positive. I could have plugged in fractions but I used integers to make it easier on me. You should use a positive fraction after if you dont get an answer. I am not sure if this is the eight way to do it, but this is how I usually solve these kind of questions.

I just plugged in x = 2 and y = 2

1/ (x + y)^ (1/2) = 1/2

so you need to plus in value for x and y and see which of the given choices are greater than 1/2

1) (4) ^ (1/2) / 4 = 1/2 is equal to the equation therefore not right
2) (2)^1/2 + (2)^(1/2) / 4 = 2 * 2^(1/2) / 4 = (1/2) * (2)^(1/2) , which is > 1/2
3) 0 / 4 = 0 not greater than 1/2

Note - x^(1/2) is same as x *sqrt 2

Hence C is your answer


Let me know if you have questions.