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AI.N.RN.3b: Categorize the sum or product of rational or irrational numbers.

• The sum and product of two rational numbers is rational.
• The sum of a rational number and an irrational number is irrational.
• The product of a nonzero rational number and an irrational number is irrational.
• The sum and product of two irrational numbers could be either rational or irrational.