Exam-style question
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B2: Explain how to approach use and manipulate surds in an AQA A-level Mathematics question. Your answer should identify the method, the key notation and one check on the final result.
Model answer
What a good answer should say
- Start with the exact surd form, not a decimal approximation.
- Simplify square factors first, then rationalise only if the denominator still contains a surd.
- For example, split a root into a square factor and a remaining irrational factor before cancelling or combining terms.
- A common mistake is treating ?a + ?b as ?(a+b), which changes the value.
This answer is tied to the objective: B2 Use and manipulate surds, including rationalising the denominator..
Explanation
Why this works
Use the explanation to connect the worked answer back to B2 Use and manipulate surds, including rationalising the denominator..
This B2 response is specific to surd manipulation because it explains simplification, exact form and rationalising denominators rather than giving generic algebra advice.
Maths method check
- Topic focus: Pure Mathematics.
- Question style: exam_style.
- Reasoning demand: recall.
- Check the operation, notation, units, and final answer form against the question before moving on.
Common mistake
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