If \(k > 1,\) which of the following must be equal to \(\dfrac2{\sqrt{k+1}+\sqrt{k-1}}?\)

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If \(k > 1,\) which of the following must be equal to \(\dfrac2{\sqrt{k+1}+\sqrt{k-1}}?\)

A. \(2\)

B. \(2\sqrt{2k}\)

C. \(2\sqrt{k+1}+\sqrt{k-1}\)

D. \(\dfrac{\sqrt{k+1}}{\sqrt{k-1}}\)

E. \(\sqrt{k+1}-\sqrt{k-1}\)

Answer: E

Source: Manhattan GMAT
Source: — Problem Solving |