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Determine the Sum of the Following Geometric Series: 1 12\frac { 1 } { \sqrt { 2 } }

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Short Answer

Determine the sum of the following geometric series: 1 + 12\frac { 1 } { \sqrt { 2 } } + 12\frac { 1 } { 2 } + ... .
Enter your answer exactly in the form aab\frac { \sqrt { a } } { \sqrt { a } - b } .


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