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

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Manager
Manager
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Joined: 29 Nov 2006
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if x and y are positive, which of the following must be [#permalink] New post 04 Jun 2007, 19:15
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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)

3. ( sqrt(x) - sqrt(y) ) / (x+y)

a none
b 1
c 2
d 1 and 3
e 2 and 3

oa will follow shortly
explanations pls!
Senior Manager
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 [#permalink] New post 05 Jun 2007, 09:37
I just plugged in numbers for this, and when one expression did not fit then that would cancel out some of the answer choices. Sometimes it is hard to plug in numbers when you are working with roots, but I like to memorize sqrt of 2 and sqrt of 3 (approx 1.4 and 1.7 respectively), so at least I can estimate if I am having trouble evaluating an expression.
Manager
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 [#permalink] New post 06 Jun 2007, 09:39
Best strategy is to choose numbers for x and y and then evaluate each expression. The sample set of numbers can be 1,2, 3, 4 anything higher will lead to more complicated calculations..leading to time wastage
  [#permalink] 06 Jun 2007, 09:39
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if x and y are positive, which of the following must be

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