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### Number and algebra

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### For younger learners

# Root to Poly

Start with the expression $x = 1 + \sqrt2 + \sqrt3$ square and simplify. Take it from there.

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### Rudolff's Problem

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Age 14 to 16

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Start with the expression $x = 1 + \sqrt2 + \sqrt3$ square and simplify. Take it from there.

A group of 20 people pay a total of £20 to see an exhibition. The admission price is £3 for men, £2 for women and 50p for children. How many men, women and children are there in the group?