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If x and y are positive, which of the following must be

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Senior Manager
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If x and y are positive, which of the following must be [#permalink] New post 22 Sep 2006, 21:50
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If x and y are positive, which of the following must be greater than 1/√(x+y)?
I. √(x+y)/2x,
II. (√x+√y)/(x+y)
III. (√x-√y)/(x+y)

Please explain your solution.
Senior Manager
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Re: DS:1/sqrt(x+y) [#permalink] New post 22 Sep 2006, 22:01
gmacvik wrote:
If x and y are positive, which of the following must be greater than 1/√(x+y)?
I. √(x+y)/2x,
II. (√x+√y)/(x+y)
III. (√x-√y)/(x+y)

Please explain your solution.


I pick II

let x = y then we need to find which ones are greater than 1/√(2x)

now I = 1/√(2x)

II = 2√x/2x = 1/√x

III = 0
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 [#permalink] New post 22 Sep 2006, 22:49
  [#permalink] 22 Sep 2006, 22:49
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If x and y are positive, which of the following must be

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