Sum of Radical Expressions
Source:
June 13, 2009
Problem Statement
The expression 2 \plus{} \sqrt{2} \plus{} \frac{1}{2 \plus{} \sqrt{2}} \plus{} \frac{1}{\sqrt{2} \minus{} 2} equals:
(A)\ 2\qquad
(B)\ 2 \minus{} \sqrt{2}\qquad
(C)\ 2 \plus{} \sqrt{2}\qquad
(D)\ 2\sqrt{2}\qquad
(E)\ \frac{\sqrt{2}}{2}