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

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Director
Joined: 08 Jun 2004
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Kudos [?]: 6 [0], given: 0

If n is positive, which of the following is equal to [#permalink]  09 May 2006, 01:05
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If n is positive, which of the following is equal to 1/{sqrt(n+1)-sqrt(n)}?

A. 1.
B. sqrt(2n+1)
C. sqrt(n+1)/sqrt(n)
D. sqrt(n+1)-sqrt(n)
E. sqrt(n+1)+sqrt(n)
Director
Joined: 13 Nov 2003
Posts: 811
Location: BULGARIA
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Kudos [?]: 6 [0], given: 0

MUltiplying both nominator and denominator with E yields E as an answer
Director
Joined: 24 Oct 2005
Posts: 666
Location: London
Followers: 1

Kudos [?]: 6 [0], given: 0

Yes get E.

This is in the form

1/(a-b)
Multiply num and denom by (a+b)

So we get (a+b)/(a^2 - b^2)
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