In this lesson, we explore why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational.

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This lesson answers the questions: What is a rational number? What is an irrational number? What is the sum of two rational numbers? What is the product of two rational numbers? What is the sum of a rational and irrational number? What is the product of rational and irrational number?

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