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    Cube Root of −1331

    Cube Root Calculator
    Cube root of

    What is the cube root of −1,331?

    Answer

    ∛(−1,331) =
    −11

    Real cube root: the only number whose cube is −1,331.

    A negative number has a negative cube root: (−11)³ = −1,331. There is no real square root of −1,331.

    Sign
    ∛(−1,331) = −∛1,331, because (−a)³ = −a³
    Prime factors
    1,331 = (11 × 11 × 11) = 11³
    Take out of the root
    ∛1,331 = ∛(11³) = 11
    Check
    11 × 11 × 11 = 1,331 ✓

    See Also

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    https://calculat.io/en/number/cube-root/-1331Copy
    <a href="https://calculat.io/en/number/cube-root/-1331">Cube Root of −1331 (∛(−1331)): Exact Value and Decimal</a>Copy
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    Cube Root of −1331 (∛(−1331)): Exact Value and Decimal. ∛(−1,331) = −11. 1,331 = 11³: 11 × 11 × 11 = 1,331. The minus comes out of the root. Prime factors in threes and a check.
    https://calculat.io/en/number/cube-root/-1331/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    −2,744−14
    −2,197−13
    −1,728−12
    −1,331−11
    −1,000−10
    −729−9
    −512−8
    Recalculate with different values ↑

    FAQ

    What is the cube root of −1,331?

    ∛(−1,331) = −11

    Why does the cube root of −1,331 exist but the square root does not?

    A cube keeps the sign: (−11)³ = −1,331, so ∛(−1,331) = −11. The square of any real number is never negative, so no real number squared gives −1,331.

    Is ∛(−1,331) a rational number?

    Yes: ∛(−1,331) = −11, a whole number.

    See Also