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

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Intern
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If n is positive, which of the following is equal to [#permalink]  31 Aug 2006, 14:11
If n is positive, which of the following is equal to 1/((n+1)^1/2 - n^1/2)?

a. 1
b. (2n+1)^1/2
c. (n+1)^1/2 / (n^1/2)
d. (n+1)^1/2 - (n)^1/2
e. (n+1)^1/2 + (n)^1/2
Intern
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how did u get that answer?
Intern
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how did u get that answer?
Manager
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cejismundo,

just multiply and divide the equation by (n+1)^1/2 + (n)^1/2

Using concept a^2 - b^2 = (a-b)(a+b), the denominator will become 1

So all you will have left is (n+1)^1/2 + (n)^1/2
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rookie06 wrote:
cejismundo,

just multiply and divide the equation by (n+1)^1/2 + (n)^1/2

Using concept a^2 - b^2 = (a-b)(a+b), the denominator will become 1

So all you will have left is (n+1)^1/2 + (n)^1/2

In that case, wouldn't (D) be the correct answer.
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