Use the binomial expansion to show that
$$\left. \sqrt { ( } \frac { 1 + x } { 1 - x } \right) \approx 1 + x + \frac { 1 } { 2 } x ^ { 2 } , \quad | x | < 1$$
Substitute \(x = \frac { 1 } { 26 }\) into
$$\sqrt { \left( \frac { 1 + x } { 1 - x } \right) = 1 + x + \frac { 1 } { 2 } x ^ { 2 } }$$
to obtain an approximation to \(\sqrt { } 3\)
Give your answer in the form \(\frac { a } { b }\) where \(a\) and \(b\) are integers.