Cube Root of 512

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Cube root of

What is the cube root of 512?

Answer

∛512 =
8

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

Prime factors
512 = (2 × 2 × 2) × (2 × 2 × 2) × (2 × 2 × 2) = 2⁹
Take out of the root
∛512 = ∛((2³)³) = 2³ = 8
Check
8 × 8 × 8 = 512 ✓

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FAQ

What is the cube root of 512?

∛512 = 8

What number cubed is 512?

8, because 8 × 8 × 8 = 512. So ∛512 = 8 exactly: 512 is a perfect cube, 8³.

Is ∛512 a rational number?

Yes: ∛512 = 8, a whole number.