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March 27, 2017

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Square Numbers

Lagrange's Theorem
A famous mathematician called Lagrange proved that every whole number could be written as the sum of 4 or fewer square numbers.

Examples:
19 = 16 + 1 + 1 + 1
35 = 25 + 9 + 1
47 = 36 + 9 + 1 + 1

What would 96 be?

Please help!!

  • math easy challenge - ,

    The answer is 8²+4²+4². There's an applet on the internet that will do the decomposition for you for any positive integer: just google "Dario Alpern Lagrange" and click on the link at the bottom of the page to find it. It's very fast indeed.

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