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    Cube Root of −3375

    Cube Root Calculator
    Cube root of

    What is the cube root of −3,375?

    Answer

    ∛(−3,375) =
    −15

    Real cube root: the only number whose cube is −3,375.

    A negative number has a negative cube root: (−15)³ = −3,375. There is no real square root of −3,375.

    Sign
    ∛(−3,375) = −∛3,375, because (−a)³ = −a³
    Prime factors
    3,375 = (3 × 3 × 3) × (5 × 5 × 5) = 3³ × 5³
    Take out of the root
    ∛3,375 = ∛(3³ × 5³) = 3 × 5 = 15
    Check
    15 × 15 × 15 = 3,375 ✓

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    https://calculat.io/en/number/cube-root/-3375Copy
    <a href="https://calculat.io/en/number/cube-root/-3375">Cube Root of −3375 (∛(−3375)): Exact Value and Decimal</a>Copy
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    Cube Root of −3375 (∛(−3375)): Exact Value and Decimal. ∛(−3,375) = −15. 3,375 = 15³: 15 × 15 × 15 = 3,375. The minus comes out of the root. Prime factors in threes and a check.
    https://calculat.io/en/number/cube-root/-3375/generated.jpgCopy

    FAQ

    What is the cube root of −3,375?

    ∛(−3,375) = −15

    Why does the cube root of −3,375 exist but the square root does not?

    A cube keeps the sign: (−15)³ = −3,375, so ∛(−3,375) = −15. The square of any real number is never negative, so no real number squared gives −3,375.

    Is ∛(−3,375) a rational number?

    Yes: ∛(−3,375) = −15, a whole number.