Explain 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.
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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