Cube Root of 729000

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Cube root of

What is the cube root of 729,000?

Answer

∛729,000 =
90

Real cube root: the only number whose cube is 729,000.

Prime factors
729,000 = (2 × 2 × 2) × (3 × 3 × 3) × (3 × 3 × 3) × (5 × 5 × 5) = 2³ × 3⁶ × 5³
Take out of the root
∛729,000 = ∛(2³ × (3³)² × 5³) = 2 × 3² × 5 = 90
Check
90 × 90 × 90 = 729,000 ✓

See Also

Cube roots of nearby values

FAQ

What is the cube root of 729,000?

∛729,000 = 90

What number cubed is 729,000?

90, because 90 × 90 × 90 = 729,000. So ∛729,000 = 90 exactly: 729,000 is a perfect cube, 90³.

Is ∛729,000 a rational number?

Yes: ∛729,000 = 90, a whole number.