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When a nonzero rational and an irrational number are multiplied, is the product rational or irrational?

When a nonzero rational and an irrational number are multiplied, is the product rational or irrational?
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When a nonzero rational and an irrational number are multiplied, is the product rational or irrational?

User Alfah
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The sum of a rational number and an irrational number is irrational.
User EvaBat
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