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    Cube Root of −4913

    Cube Root Calculator
    Cube root of

    What is the cube root of −4,913?

    Answer

    ∛(−4,913) =
    −17

    Real cube root: the only number whose cube is −4,913.

    A negative number has a negative cube root: (−17)³ = −4,913. There is no real square root of −4,913.

    Sign
    ∛(−4,913) = −∛4,913, because (−a)³ = −a³
    Prime factors
    4,913 = (17 × 17 × 17) = 17³
    Take out of the root
    ∛4,913 = ∛(17³) = 17
    Check
    17 × 17 × 17 = 4,913 ✓

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    https://calculat.io/en/number/cube-root/-4913Copy
    <a href="https://calculat.io/en/number/cube-root/-4913">Cube Root of −4913 (∛(−4913)): Exact Value and Decimal</a>Copy
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    Cube Root of −4913 (∛(−4913)): Exact Value and Decimal. ∛(−4,913) = −17. 4,913 = 17³: 17 × 17 × 17 = 4,913. The minus comes out of the root. Prime factors in threes and a check.
    https://calculat.io/en/number/cube-root/-4913/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    −8,000−20
    −6,859−19
    −5,832−18
    −4,913−17
    −4,096−16
    −3,375−15
    −2,744−14
    Recalculate with different values ↑

    FAQ

    What is the cube root of −4,913?

    ∛(−4,913) = −17

    Why does the cube root of −4,913 exist but the square root does not?

    A cube keeps the sign: (−17)³ = −4,913, so ∛(−4,913) = −17. The square of any real number is never negative, so no real number squared gives −4,913.

    Is ∛(−4,913) a rational number?

    Yes: ∛(−4,913) = −17, a whole number.

    See Also