Cube Root of 64000

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Cube root of

What is the cube root of 64,000?

Answer

∛64,000 =
40

Real cube root: the only number whose cube is 64,000.

Prime factors
64,000 = (2 × 2 × 2) × (2 × 2 × 2) × (2 × 2 × 2) × (5 × 5 × 5) = 2⁹ × 5³
Take out of the root
∛64,000 = ∛((2³)³ × 5³) = 2³ × 5 = 40
Check
40 × 40 × 40 = 64,000 ✓

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Cube roots of nearby values

N∛N
50,65337
54,87238
59,31939
64,00040
68,92141
74,08842
79,50743

FAQ

What is the cube root of 64,000?

∛64,000 = 40

What number cubed is 64,000?

40, because 40 × 40 × 40 = 64,000. So ∛64,000 = 40 exactly: 64,000 is a perfect cube, 40³.

Is ∛64,000 a rational number?

Yes: ∛64,000 = 40, a whole number.

See Also