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    Cube Root of −27

    Cube Root Calculator
    Cube root of

    What is the cube root of −27?

    Answer

    ∛(−27) =
    −3

    Real cube root: the only number whose cube is −27.

    A negative number has a negative cube root: (−3)³ = −27. There is no real square root of −27.

    Sign
    ∛(−27) = −∛27, because (−a)³ = −a³
    Prime factors
    27 = (3 × 3 × 3) = 3³
    Take out of the root
    ∛27 = ∛(3³) = 3
    Check
    3 × 3 × 3 = 27 ✓

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    https://calculat.io/en/number/cube-root/-27Copy
    <a href="https://calculat.io/en/number/cube-root/-27">Cube Root of −27 (∛(−27)): Exact Value and Decimal</a>Copy
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    Cube Root of −27 (∛(−27)): Exact Value and Decimal. ∛(−27) = −3. 27 = 3³: 3 × 3 × 3 = 27. The minus comes out of the root. Prime factors in threes and a check.
    https://calculat.io/en/number/cube-root/-27/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    −54−3∛2 ≈ −3.7798
    −49−∛49 ≈ −3.6593
    −32−2∛4 ≈ −3.1748
    −27−3
    −25−∛25 ≈ −2.924
    −21−∛21 ≈ −2.7589
    −20−∛20 ≈ −2.7144
    Recalculate with different values ↑

    FAQ

    What is the cube root of −27?

    ∛(−27) = −3

    Why does the cube root of −27 exist but the square root does not?

    A cube keeps the sign: (−3)³ = −27, so ∛(−27) = −3. The square of any real number is never negative, so no real number squared gives −27.

    Is ∛(−27) a rational number?

    Yes: ∛(−27) = −3, a whole number.

    See Also