Cube Root of 421875

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Cube root of

What is the cube root of 421,875?

Answer

∛421,875 =
75

Real cube root: the only number whose cube is 421,875.

Prime factors
421,875 = (3 × 3 × 3) × (5 × 5 × 5) × (5 × 5 × 5) = 3³ × 5⁶
Take out of the root
∛421,875 = ∛(3³ × (5³)²) = 3 × 5² = 75
Check
75 × 75 × 75 = 421,875 ✓

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
373,24872
389,01773
405,22474
421,87575
438,97676
456,53377
474,55278

FAQ

What is the cube root of 421,875?

∛421,875 = 75

What number cubed is 421,875?

75, because 75 × 75 × 75 = 421,875. So ∛421,875 = 75 exactly: 421,875 is a perfect cube, 75³.

Is ∛421,875 a rational number?

Yes: ∛421,875 = 75, a whole number.

See Also