| Exam Board | Edexcel |
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| Module | P1 (Pure Mathematics 1) |
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| Year | 2019 |
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| Session | June |
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| Topic | Indices and Surds |
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- Answer this question showing each stage of your working.
- Simplify \(\frac { 1 } { 4 - 2 \sqrt { 2 } }\)
giving your answer in the form \(a + b \sqrt { 2 }\) where \(a\) and \(b\) are rational numbers. - Hence, or otherwise, solve the equation
$$4 x = 2 \sqrt { 2 } x + 20 \sqrt { 2 }$$
giving your answer in the form \(p + q \sqrt { 2 }\) where \(p\) and \(q\) are rational numbers.