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# If n is positive, which of the following is equal to 1 / {

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Manager
Joined: 14 Jun 2008
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If n is positive, which of the following is equal to 1 / { [#permalink]

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26 Jul 2008, 10:25
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

If n is positive, which of the following is equal to 1 / {√(n+1) -√n}?
A. 1
B. √(2n+1)
C. √(n+1) / √n
D. √(n+1) - √n
E. √(n+1) + √n
Senior Manager
Joined: 09 Oct 2007
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26 Jul 2008, 10:55
IMO E.

Just need to rationalize the denominator (get rid of the radicals).

1 / {√(n+1) -√n} = 1 ( √(n+1) +√n ) / {√(n+1) -√n} {√(n+1) +√n} =

{ √(n+1) +√n } / 1 = E
SVP
Joined: 28 Dec 2005
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26 Jul 2008, 15:42
yep, E for me as well
Re: simplying expression   [#permalink] 26 Jul 2008, 15:42
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