Cube Root of 13824 (∛13824): Exact Value and Decimal

What is the cube root of 13,824?

Answer

∛13,824 =

24

Real cube root: the only number whose cube is 13,824.

Prime factors: 13,824 = (2 × 2 × 2) × (2 × 2 × 2) × (2 × 2 × 2) × (3 × 3 × 3) = 2⁹ × 3³
Take out of the root: ∛13,824 = ∛((2³)³ × 3³) = 2³ × 3 = 24
Check: 24 × 24 × 24 = 13,824 ✓

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