Cube Root of 27000

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Cube root of

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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FAQ

What is the cube root of 27,000?

∛27,000 = 30

What number cubed is 27,000?

30, because 30 × 30 × 30 = 27,000. So ∛27,000 = 30 exactly: 27,000 is a perfect cube, 30³.

Is ∛27,000 a rational number?

Yes: ∛27,000 = 30, a whole number.