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Sufficient or not? (Posted on 2018-08-29) Difficulty: 3 of 5
M & N are distinct real numbers.
M+N is a rational number.
M^2+N^2 is a rational number.
M*N is rational as well.

Provided all the above is true must each of M, N be rational?

No Solution Yet Submitted by Ady TZIDON    
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  Subject Author Date
Greatjedy mark2018-09-18 22:50:46
SolutionProof (spoiler)Steve Herman2018-08-29 08:04:14
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