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Q: Give 2 real numbers whose sum is a rational number and whose product is an irrational number?

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The product of two rational number is always rational.

The product of a rational and irrational number can be rational if the rational is 0. Otherwise it is always irrational.

Such a product is always irrational - unless the rational number happens to be zero.

The question is nonsense because the product of two rational numbers is never irrational.

No. If it was a rational number, then it wouldn't be an irrational number.

No. 0 is a rational number and the product of 0 and any irrational number will be 0, a rational. Otherwise, though, the product will always be irrational.

yes * * * * * No. Rational and irrational numbers are two DISJOINT subsets of the real numbers. That is, no rational number is irrational and no irrational is rational.

Provided that the rational number is not 0, the product is irrational.

The question cannot be answered because it is based on a false premise.The product of a (not an!) rational number and an irrational number need not be irrational. For eample, the product ofthe rational number, 0, and the irrational number, pi, is 0. The product is rational, not irrational!

It is always irrational.

No, they are complementary sets. No rational number is irrational and no irrational number is rational.Irrational means not rational.

Not if the rational number is zero. In all other cases, the product is irrational.

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