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    Cube Root of −5832

    Cube Root Calculator
    Cube root of

    What is the cube root of −5,832?

    Answer

    ∛(−5,832) =
    −18

    Real cube root: the only number whose cube is −5,832.

    A negative number has a negative cube root: (−18)³ = −5,832. There is no real square root of −5,832.

    Sign
    ∛(−5,832) = −∛5,832, because (−a)³ = −a³
    Prime factors
    5,832 = (2 × 2 × 2) × (3 × 3 × 3) × (3 × 3 × 3) = 2³ × 3⁶
    Take out of the root
    ∛5,832 = ∛(2³ × (3³)²) = 2 × 3² = 18
    Check
    18 × 18 × 18 = 5,832 ✓

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    https://calculat.io/en/number/cube-root/-5832Copy
    <a href="https://calculat.io/en/number/cube-root/-5832">Cube Root of −5832 (∛(−5832)): Exact Value and Decimal</a>Copy
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    Cube Root of −5832 (∛(−5832)): Exact Value and Decimal. ∛(−5,832) = −18. 5,832 = 18³: 18 × 18 × 18 = 5,832. The minus comes out of the root. Prime factors in threes and a check.
    https://calculat.io/en/number/cube-root/-5832/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    −106,875−5∛855 ≈ −47.4561
    −8,000−20
    −6,859−19
    −5,832−18
    −4,913−17
    −4,096−16
    −3,375−15
    Recalculate with different values ↑

    FAQ

    What is the cube root of −5,832?

    ∛(−5,832) = −18

    Why does the cube root of −5,832 exist but the square root does not?

    A cube keeps the sign: (−18)³ = −5,832, so ∛(−5,832) = −18. The square of any real number is never negative, so no real number squared gives −5,832.

    Is ∛(−5,832) a rational number?

    Yes: ∛(−5,832) = −18, a whole number.

    See Also