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Q: Is the sum of a rational number and a rational number rational?

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The sum of the three can be rational or irrational.

The value of the sum depends on the values of the rational number and the irrational number.

No. In fact the sum of a rational and an irrational MUST be irrational.

The sum of any finite set of rational numbers is a rational number.

The sum of a rational and irrational number must be an irrational number.

Yes, the sum is always rational.

No - the sum of any two rational numbers is still rational:

True.

The sum is irrational.

Either way, you'll end up with a rational number, but you won't get a sum if you multiply.

Yes, it is.

It is a rational number.

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