If the arithmetic mean of two numbers $a$ and $b , a > b > 0$, is five times their geometric mean, then $\frac { a + b } { a - b }$ is equal to:
(1) $\frac { 7 \sqrt { 3 } } { 12 }$
(2) $\frac { 3 \sqrt { 2 } } { 4 }$
(3) $\frac { \sqrt { 6 } } { 2 }$
(4) $\frac { 5 \sqrt { 6 } } { 12 }$
If the arithmetic mean of two numbers $a$ and $b , a > b > 0$, is five times their geometric mean, then $\frac { a + b } { a - b }$ is equal to:\\
(1) $\frac { 7 \sqrt { 3 } } { 12 }$\\
(2) $\frac { 3 \sqrt { 2 } } { 4 }$\\
(3) $\frac { \sqrt { 6 } } { 2 }$\\
(4) $\frac { 5 \sqrt { 6 } } { 12 }$