Rational and Irrational Numbers

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Always

The product of a nonzero rational number and an irrational number is irrational.

Always

The product of a rational number and a rational number is rational.

Sometimes

The product of an irrational number and an irrational number is irrational.

Always

The sum of a rational number and a rational number is rational.

Always

The sum of a rational number and an irrational number is irrational.

Sometimes

The sum of an irrational number and an irrational number is irrational.


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