| Exam Board | AQA |
|---|
| Module | C1 (Core Mathematics 1) |
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| Year | 2007 |
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| Session | January |
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| Topic | Indices and Surds |
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3
- Express \(\frac { \sqrt { 5 } + 3 } { \sqrt { 5 } - 2 }\) in the form \(p \sqrt { 5 } + q\), where \(p\) and \(q\) are integers.
- Express \(\sqrt { 45 }\) in the form \(n \sqrt { 5 }\), where \(n\) is an integer.
- Solve the equation
$$x \sqrt { 20 } = 7 \sqrt { 5 } - \sqrt { 45 }$$
giving your answer in its simplest form.