Hi, could you please help me solve this question? Thank you! If x and y are positive, which of the following must be greater than 1/sqrt(x+y) ? 1) (sqrt(x+y))/(2x) 2) (sqrt(x)+sqrt(y))/(x+y) 2) (sqrt(x)-sqrt(y))/(x+y)
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1) So, the inequality is true iff and not for all positive x and y. 2) which is true for all positive x, y. 3) Is not true if x<y, because LHM is negative and RHM is positive.
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