Cube Root of 512000

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Cube root of

What is the cube root of 512,000?

Answer

∛512,000 =
80

Real cube root: the only number whose cube is 512,000.

Prime factors
512,000 = 2¹² × 5³ = (2³)⁴ × 5³
Take out of the root
∛512,000 = ∛((2³)⁴ × 5³) = 2⁴ × 5 = 80
Check
80 × 80 × 80 = 512,000 ✓

See Also

Cube roots of nearby values

FAQ

What is the cube root of 512,000?

∛512,000 = 80

What number cubed is 512,000?

80, because 80 × 80 × 80 = 512,000. So ∛512,000 = 80 exactly: 512,000 is a perfect cube, 80³.

Is ∛512,000 a rational number?

Yes: ∛512,000 = 80, a whole number.