SOLUTION: for which value of p and w is p+w a rational number?

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Question 1147197: for which value of p and w is p+w a rational number?
Answer by ikleyn(52851) About Me  (Show Source):
You can put this solution on YOUR website!
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For infinitely many values of p and w.

For example (very unexpected for you) , p = 1+%2B+sqrt%282%29, w = -sqrt%282%29,

where BOTH p and w are irrational numbers.