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    Cube Root of 1000

    Cube Root Calculator
    Cube root of

    What is the cube root of 1,000?

    Answer

    ∛1,000 =
    10

    Real cube root: the only number whose cube is 1,000.

    Prime factors
    1,000 = (2 × 2 × 2) × (5 × 5 × 5) = 2³ × 5³
    Take out of the root
    ∛1,000 = ∛(2³ × 5³) = 2 × 5 = 10
    Check
    10 × 10 × 10 = 1,000 ✓

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    https://calculat.io/en/number/cube-root/1000Copy
    <a href="https://calculat.io/en/number/cube-root/1000">Cube Root of 1000 (∛1000): Exact Value and Decimal</a>Copy
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    Cube Root of 1000 (∛1000): Exact Value and Decimal. ∛1,000 = 10. 1,000 = 10³: 10 × 10 × 10 = 1,000. Prime factors in threes and a check.
    https://calculat.io/en/number/cube-root/1000/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    997≈ 9.99
    998≈ 9.9933
    9993∛37 ≈ 9.9967
    1,00010
    1,001≈ 10.0033
    1,0248∛2 ≈ 10.0794
    1,0297∛3 ≈ 10.0957
    Recalculate with different values ↑

    FAQ

    What is the cube root of 1,000?

    ∛1,000 = 10

    What number cubed is 1,000?

    10, because 10 × 10 × 10 = 1,000. So ∛1,000 = 10 exactly: 1,000 is a perfect cube, 10³.

    Is ∛1,000 a rational number?

    Yes: ∛1,000 = 10, a whole number.

    See Also