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    Cube Root of −2197

    Cube Root Calculator
    Cube root of

    What is the cube root of −2,197?

    Answer

    ∛(−2,197) =
    −13

    Real cube root: the only number whose cube is −2,197.

    A negative number has a negative cube root: (−13)³ = −2,197. There is no real square root of −2,197.

    Sign
    ∛(−2,197) = −∛2,197, because (−a)³ = −a³
    Prime factors
    2,197 = (13 × 13 × 13) = 13³
    Take out of the root
    ∛2,197 = ∛(13³) = 13
    Check
    13 × 13 × 13 = 2,197 ✓

    See Also

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    https://calculat.io/en/number/cube-root/-2197Copy
    <a href="https://calculat.io/en/number/cube-root/-2197">Cube Root of −2197 (∛(−2197)): Exact Value and Decimal</a>Copy
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    Cube Root of −2197 (∛(−2197)): Exact Value and Decimal. ∛(−2,197) = −13. 2,197 = 13³: 13 × 13 × 13 = 2,197. The minus comes out of the root. Prime factors in threes and a check.
    https://calculat.io/en/number/cube-root/-2197/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    −4,096−16
    −3,375−15
    −2,744−14
    −2,197−13
    −1,728−12
    −1,331−11
    −1,000−10
    Recalculate with different values ↑

    FAQ

    What is the cube root of −2,197?

    ∛(−2,197) = −13

    Why does the cube root of −2,197 exist but the square root does not?

    A cube keeps the sign: (−13)³ = −2,197, so ∛(−2,197) = −13. The square of any real number is never negative, so no real number squared gives −2,197.

    Is ∛(−2,197) a rational number?

    Yes: ∛(−2,197) = −13, a whole number.

    See Also