4MA1/2H Jan 2020, Question 20: Surds
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2H (Higher) · Calculator · 3 marks
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The question, in short
Rectangle area 18 cm², length (√7 + 1) cm. Without a calculator, show working to find the width and give it as a√b + c with integers a, b, c.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 3 marks
- 118/(√7 + 1)
- 2× (√7 − 1)/(√7 − 1)
- 318(√7 − 1)/(7 − 1)
- 418(√7 − 1)/6
- 53(√7 − 1)
- 63√7 − 3
Answer3√7 − 3
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