Class 8MathematicsCubes and Cube Roots

Cube Roots

Cube root of n = ∛n = number m such that m³=n. ∛8=2, ∛27=3, ∛1000=10. Method: prime factorisation. Group prime factors in groups of 3. If each prime appears exactly 3 times → perfect cube. ∛216: 216=2³×3³=8×27. ∛216=2×3=6. Negative cube roots: ∛(-8)=-2 (only real cube root of negative number is negative).

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10 example pages

Concept check 1

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Definition to application 2

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Formula warm-up 3

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Reasoning practice 4

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Board-style short answer 5

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Mistake correction 6

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Visual interpretation 7

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Applied word problem 8

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Revision challenge 9

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Exam recap 10

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