| Exam Board | OCR MEI |
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| Module | Paper 3 (Paper 3) |
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| Year | 2023 |
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| Session | June |
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| Topic | Indices and Surds |
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3 In this question you must show detailed reasoning.
Find the value of \(k\) such that \(\frac { 1 } { \sqrt { 5 } + \sqrt { 6 } } + \frac { 1 } { \sqrt { 6 } + \sqrt { 7 } } = \frac { k } { \sqrt { 5 } + \sqrt { 7 } }\).