4024/12 May/Jun 2026, Question 24: Surds
Cambridge O Level Mathematics 4024 · Paper 12 (Non-calculator) · Non-calculator · 3 marks
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The question, in short
Expand and simplify (3 + 5√2)(2√8 − 1), giving the result in the form a + b√2.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 3 marks
- 12√8 = 4√2
- 2(3 + 5√2)(4√2 − 1) = 12√2 − 3 + 20 × 2 − 5√2
- 3= 12√2 − 3 + 40 − 5√2
- 4= 37 + 7√2
Answer37 + 7√2
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Also searched as: 4024/12/M/J/26 · 4024_s26_qp_12 · 4024 s26 12 · question 24.
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