What about this one? a^n + b^n = c^n
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Sure! I have a pretty straight-forward graphical proof for n=2.
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I guess if they had scaled them both by √2, then the answer might have been too obvious? They used to have trickier versions of stuff like this on the leaving cert, for example http://archive.maths.nuim.ie/staff/dmalone/StateExamPapers/Maths-LC-H-1944-PA.pdf …
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