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Archimedes and Numerical Roots
The problem is how did Archimedes calculate the lengths of the sides of the polygons which needed him to be able to calculate square roots?
Consecutive Squares
The squares of any 8 consecutive numbers can be arranged into two sets of four numbers with the same sum. True of false?
Age 14 to 16 Challenge Level:
Find the polynomial $p(x)$ with integer coefficients such that one
solution of the equation $p(x)=0$ is $1+\sqrt{2}+\sqrt{3}$.
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NRICH is part of the family of activities in the Millennium Mathematics Project.
NRICH is part of the family of activities in the Millennium Mathematics Project.