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

Short Answer

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