Feedback form
Hi! What do you think?

Drag it here or paste with Ctrl+V

    You can also email us on infocalculat.io

    Cube Root of −1/8

    Cube Root Calculator
    Cube root of

    What is the cube root of −1/8?

    Answer

    ∛(−1/8) =
    −1/2 = −0.5

    Real cube root: the only number whose cube is −1/8.

    A negative number has a negative cube root: (−1/2)³ = −1/8. There is no real square root of −1/8.

    Sign
    ∛(−1/8) = −∛(1/8), because (−a)³ = −a³
    Root of a fraction
    ∛(1/8) = ∛1/∛8 = 1/2

    See Also

    Share This Calculation
    Print
    https://calculat.io/en/number/cube-root/-1-8Copy
    <a href="https://calculat.io/en/number/cube-root/-1-8">Cube Root of −1/8 (∛(−1/8)): Exact Value and Decimal</a>Copy
    Facebook
    Twitter
    Telegram
    WhatsApp
    Viber
    Email
    Cube Root of −1/8 (∛(−1/8)): Exact Value and Decimal. ∛(−1/8) = −1/2 = −0.5. ∛(1/8) = ∛1/∛8 = 1/2: both 1 and 8 are perfect cubes. The minus comes out of the root.
    https://calculat.io/en/number/cube-root/-1-8/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    −1−1
    −0.5≈ −0.7937
    −1/2−∛4/2 ≈ −0.7937
    −1/8−1/2 = −0.5
    −0.0125≈ −0.2321
    00
    0.00015≈ 0.0531
    Recalculate with different values ↑

    FAQ

    What is the cube root of −1/8?

    ∛(−1/8) = −1/2 = −0.5

    Why does the cube root of −1/8 exist but the square root does not?

    A cube keeps the sign: (−1/2)³ = −1/8, so ∛(−1/8) = −1/2. The square of any real number is never negative, so no real number squared gives −1/8.

    Is ∛(−1/8) a rational number?

    Yes: ∛(−1/8) = −1/2 = −0.5, a terminating decimal.

    See Also