HS.N.3(+)
Justify 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. (MP.3, MP.6)
Example Problems
Is rational or irrational?
Is rational or irrational?
Is rational or irrational?
Khan Academy ResourcesRational 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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