Cube Root of 216000

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Cube root of

What is the cube root of 216,000?

Answer

∛216,000 =
60

Real cube root: the only number whose cube is 216,000.

Prime factors
216,000 = (2 × 2 × 2) × (2 × 2 × 2) × (3 × 3 × 3) × (5 × 5 × 5) = 2⁶ × 3³ × 5³
Take out of the root
∛216,000 = ∛((2³)² × 3³ × 5³) = 2² × 3 × 5 = 60
Check
60 × 60 × 60 = 216,000 ✓

See Also

Cube roots of nearby values

FAQ

What is the cube root of 216,000?

∛216,000 = 60

What number cubed is 216,000?

60, because 60 × 60 × 60 = 216,000. So ∛216,000 = 60 exactly: 216,000 is a perfect cube, 60³.

Is ∛216,000 a rational number?

Yes: ∛216,000 = 60, a whole number.