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Which statement is not always true?

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

The sum of two rational number is rational

The product of two irrational numbers is irrational

The product of two rational numbers is rational

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Statement #3: The product of two irrational numbers is not always irrational.

If you multiply √3 and 1/√3, both irrational numbers that are inverses of each other, you end up getting 1, which is rational.
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User Matthias Meid
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