Number 10
2 marks · NormalSimplify the surd and write your answer in the form , where and are integers and is as small as possible.
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6\sqrt{2}
Common mistakes: Leaving as or ; Not simplifying fully to smallest possible surd
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Marking points
M1 · 1 mark · Attempts to factorise 72 and identify a square factor (e.g., 72 = 36 × 2) and splits the surd.
A1 · 1 mark · Arrives at the correct answer .
Worked solution
We can write , so .