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Expression Product Exercise (Posted on 2015-09-18) Difficulty: 3 of 5
Prove that when all expessions of the form:
+/- √1 +/- √2 +/- ....... +/- √100 are multiplied together, the result is an integer.
As an example, multiplying all expressions of the form: +/- √1 +/- √2 is equivalent to finding the result of this product:
(√1 +√2)( √1 - √2)( - √1 + √2)( - √1 - √2)

**** Extra Challenge: Solve this puzzle without the aid of a computer program.

No Solution Yet Submitted by K Sengupta    
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Comments: ( You must be logged in to post comments.)
  Subject Author Date
Not especially rigorous but hopefully valid solutionPaul2015-09-21 15:19:24
even UBASIC can get only to 8 in direct calculationCharlie2015-09-20 08:23:36
Some Thoughtsre: computer exploration -- far from a proofbroll2015-09-19 03:03:04
possible solutionbroll2015-09-18 23:56:26
Some Thoughtscomputer exploration -- far from a proofCharlie2015-09-18 12:37:49
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