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    Cube Root of −2744

    Cube Root Calculator
    Cube root of

    What is the cube root of −2,744?

    Answer

    ∛(−2,744) =
    −14

    Real cube root: the only number whose cube is −2,744.

    A negative number has a negative cube root: (−14)³ = −2,744. There is no real square root of −2,744.

    Sign
    ∛(−2,744) = −∛2,744, because (−a)³ = −a³
    Prime factors
    2,744 = (2 × 2 × 2) × (7 × 7 × 7) = 2³ × 7³
    Take out of the root
    ∛2,744 = ∛(2³ × 7³) = 2 × 7 = 14
    Check
    14 × 14 × 14 = 2,744 ✓

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    https://calculat.io/en/number/cube-root/-2744Copy
    <a href="https://calculat.io/en/number/cube-root/-2744">Cube Root of −2744 (∛(−2744)): Exact Value and Decimal</a>Copy
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    Cube Root of −2744 (∛(−2744)): Exact Value and Decimal. ∛(−2,744) = −14. 2,744 = 14³: 14 × 14 × 14 = 2,744. The minus comes out of the root. Prime factors in threes and a check.
    https://calculat.io/en/number/cube-root/-2744/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    −4,913−17
    −4,096−16
    −3,375−15
    −2,744−14
    −2,197−13
    −1,728−12
    −1,331−11
    Recalculate with different values ↑

    FAQ

    What is the cube root of −2,744?

    ∛(−2,744) = −14

    Why does the cube root of −2,744 exist but the square root does not?

    A cube keeps the sign: (−14)³ = −2,744, so ∛(−2,744) = −14. The square of any real number is never negative, so no real number squared gives −2,744.

    Is ∛(−2,744) a rational number?

    Yes: ∛(−2,744) = −14, a whole number.

    See Also