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 2/3

    Cube Root Calculator
    Cube root of

    What is the cube root of 2/3?

    Answer

    ∛(2/3) =
    ∛18/3 ≈ 0.8736

    Real cube root: the only number whose cube is 2/3.

    ≈ — rounded to 4 decimal places. 2/3 is not the cube of a rational number, so ∛(2/3) is irrational: its decimal expansion never ends and never repeats.

    Root of a fraction
    ∛(2/3) = ∛2/∛3
    Multiply by ∛(3²) = ∛9
    ∛2/∛3 = ∛18/∛27 = ∛18/3 ≈ 0.8736

    See Also

    Share This Calculation
    Print
    https://calculat.io/en/number/cube-root/2-3Copy
    <a href="https://calculat.io/en/number/cube-root/2-3">Cube Root of 2/3 (∛(2/3)): Exact Value and Decimal</a>Copy
    Facebook
    Twitter
    Telegram
    WhatsApp
    Viber
    Email
    Cube Root of 2/3 (∛(2/3)): Exact Value and Decimal. ∛(2/3) = ∛18/3 ≈ 0.8736. ∛(2/3) = ∛2/∛3; multiplying by ∛9 clears the root from the denominator.
    https://calculat.io/en/number/cube-root/2-3/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    125/2165/6 ≈ 0.8333
    3/5∛75/5 ≈ 0.8434
    216/3436/7 ≈ 0.8571
    2/3∛18/3 ≈ 0.8736
    343/5127/8 = 0.875
    0.69≈ 0.8837
    512/7298/9 ≈ 0.8889
    Recalculate with different values ↑

    FAQ

    What is the cube root of 2/3?

    ∛(2/3) = ∛18/3 ≈ 0.8736

    Why is ∛(2/3) = ∛18/3?

    ∛(2/3) = ∛2/∛3. Multiplying the numerator and the denominator by ∛(3²) = ∛9 makes the denominator a perfect cube: ∛18/∛27 = ∛18/3. The value does not change; only the root leaves the denominator.

    Is ∛(2/3) a rational number?

    No: 2/3 is not the cube of a rational number, and the cube root of a fraction p/q in lowest terms is rational only when p and q are both cubes. So ∛(2/3) is irrational; its decimal never ends and never repeats: ∛(2/3) ≈ 0.8736.

    See Also