AI-N.RN.3.b
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.
Example Problems
Is rational or irrational?
Is rational or irrational?
Is rational or irrational?
Khan Academy ResourcesSimplify square-root expressionsRational vs. irrational expressionsProof: there's an irrational number between any two rational numbersProof: sum & product of two rationals is rationalProof: square roots of prime numbers are irrationalWorked example: rational vs. irrational expressions (unknowns)Worked example: rational vs. irrational expressionsProof: √2 is irrationalSums and products of irrational numbersProof: sum of rational & irrational is irrationalProof: product of rational & irrational is irrational

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