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Why can’t you factor a sum of 2 squares?
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13 votes
Why can’t you factor a sum of 2 squares?

User Daniel Apt
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28 votes
28 votes
Their sum is 0 and their product = 36. But these are irrational factors or imaginary roots. We conclude a^2+36 or the sum of two squares cannot have rational factors, or simply put, the sum of two squares cannot be factorized or factored.
User Jochemke
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