SME
Grade 9 Math · Problem type
Rational or irrational?
Use this for “Which of these are irrational: √49, 5√2, √8 × √2, π ÷ 2?”
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Is the number rational or irrational?
Tap a card, then tap its group.
Assumptions
•
A sum or product of two rational numbers is rational; a rational number (not 0) times an irrational one is irrational.
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Simplify first: √8 × √2 = √16 = 4 is rational.
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A rational number plus an irrational one is irrational.
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Related lessons
Exponent properties, rational exponents, simplifying radicals, and rational and irrational numbers
Main lesson
Simplify a cube root
Use this for “Simplify ∛54.”
Rational exponents
Use this for “Evaluate 27²ᐟ³” or “16³ᐟ²”.
Divide monomials
Use this for “Simplify 12x⁷ ÷ 3x².”
Multiply square roots
Use this for “Simplify √6 × √15.”