Consider the sums and products of nonzero rational numbers and irrational numbers.

Move the options to the spaces to show whether each statement is always true, sometimes true, or never true.

The sum of two nonzero rational numbers is rational.
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The sum of a nonzero rational number and an irrational number is rational.
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The product of two irrational numbers is irrational.
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The product of a nonzero rational number and an irrational number is rational.
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1 answer

The sum of two nonzero rational numbers is rational.
Always true

The sum of a nonzero rational number and an irrational number is rational.
Sometimes true

The product of two irrational numbers is irrational.
Sometimes true

The product of a nonzero rational number and an irrational number is rational.
Never true