Not necessarily. Consider sqrt(2) and (2 -sqrt(2)). They sum up to 2, a rational, but are both irrational.
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I think pi+e is transcendental since both pi and e are transcendental
End of conversation
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It is. The proof is trivial and I'll leave it as an exercise for the reader
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It's rational indeed
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'Cause banana man said so, and trust me, he a good shit 'bout math
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