Cube Root of 64000 (∛64000): Exact Value and Decimal

What is the cube root of 64,000?

Answer

∛64,000 =

40

Real cube root: the only number whose cube is 64,000.

Prime factors: 64,000 = (2 × 2 × 2) × (2 × 2 × 2) × (2 × 2 × 2) × (5 × 5 × 5) = 2⁹ × 5³
Take out of the root: ∛64,000 = ∛((2³)³ × 5³) = 2³ × 5 = 40
Check: 40 × 40 × 40 = 64,000 ✓

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