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    Cube Root of −6859

    Cube Root Calculator
    Cube root of

    What is the cube root of −6,859?

    Answer

    ∛(−6,859) =
    −19

    Real cube root: the only number whose cube is −6,859.

    A negative number has a negative cube root: (−19)³ = −6,859. There is no real square root of −6,859.

    Sign
    ∛(−6,859) = −∛6,859, because (−a)³ = −a³
    Prime factors
    6,859 = (19 × 19 × 19) = 19³
    Take out of the root
    ∛6,859 = ∛(19³) = 19
    Check
    19 × 19 × 19 = 6,859 ✓

    See Also

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    https://calculat.io/en/number/cube-root/-6859Copy
    <a href="https://calculat.io/en/number/cube-root/-6859">Cube Root of −6859 (∛(−6859)): Exact Value and Decimal</a>Copy
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    Cube Root of −6859 (∛(−6859)): Exact Value and Decimal. ∛(−6,859) = −19. 6,859 = 19³: 19 × 19 × 19 = 6,859. The minus comes out of the root. Prime factors in threes and a check.
    https://calculat.io/en/number/cube-root/-6859/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 −6,859?

    ∛(−6,859) = −19

    Why does the cube root of −6,859 exist but the square root does not?

    A cube keeps the sign: (−19)³ = −6,859, so ∛(−6,859) = −19. The square of any real number is never negative, so no real number squared gives −6,859.

    Is ∛(−6,859) a rational number?

    Yes: ∛(−6,859) = −19, a whole number.

    See Also