Yes, it is.
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Since the sum of two rational numbers is rational, the answer will be the same as for the sum of an irrational and a single rational number. It is always irrational.
It is a rational number.
The sum of two rational numbers is rational.From there, it follows that the sum of a finite set of rational numbers is also rational.
Either way, you'll end up with a rational number, but you won't get a sum if you multiply.
It may be a rational or an irrational number.