| Exam Board | Edexcel |
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| Module | C1 (Core Mathematics 1) |
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| Topic | Indices and Surds |
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4. (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.