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August 22, 2014

August 22, 2014

Posted by **charly** on Friday, October 3, 2008 at 12:29pm.

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 -
**David Q**, Friday, October 3, 2008 at 2:47pmThe 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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