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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
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
