Cube Root of 27000 (∛27000): Exact Value and Decimal

What is the cube root of 27,000?

Answer

∛27,000 =

30

Real cube root: the only number whose cube is 27,000.

Prime factors: 27,000 = (2 × 2 × 2) × (3 × 3 × 3) × (5 × 5 × 5) = 2³ × 3³ × 5³
Take out of the root: ∛27,000 = ∛(2³ × 3³ × 5³) = 2 × 3 × 5 = 30
Check: 30 × 30 × 30 = 27,000 ✓

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