4MA1/1H Jun 2020, Question 19: Surds
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1H (Higher) · Calculator · 3 marks
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The question, in short
Rationalise the denominator of 6/(3 − √7) without a calculator, simplify the result, and show every stage of working.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 3 marks
- 1Multiply top and bottom by 3 + √7
- 2Bottom: (3 − √7)(3 + √7) = 9 − 7 = 2
- 36(3 + √7)/2 = 3(3 + √7)
- 4= 9 + 3√7
Answer9 + 3√7
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