- (a) Evaluate \(\left( 5 \frac { 4 } { 9 } \right) ^ { - \frac { 1 } { 2 } }\).
(b) Find the value of \(x\) such that
$$\frac { 1 + x } { x } = \sqrt { 3 }$$
giving your answer in the form \(a + b \sqrt { 3 }\) where \(a\) and \(b\) are rational.
[0pt]
[BLANK PAGE]