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    Cube Root of 4/3

    Cube Root Calculator
    Cube root of

    What is the cube root of 4/3?

    Answer

    ∛(4/3) =
    ∛36/3 ≈ 1.1006

    Real cube root: the only number whose cube is 4/3.

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

    Root of a fraction
    ∛(4/3) = ∛4/∛3
    Multiply by ∛(3²) = ∛9
    ∛4/∛3 = ∛36/∛27 = ∛36/3 ≈ 1.1006

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    https://calculat.io/en/number/cube-root/4-3Copy
    <a href="https://calculat.io/en/number/cube-root/4-3">Cube Root of 4/3 (∛(4/3)): Exact Value and Decimal</a>Copy
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    Cube Root of 4/3 (∛(4/3)): Exact Value and Decimal. ∛(4/3) = ∛36/3 ≈ 1.1006. ∛(4/3) = ∛4/∛3; multiplying by ∛9 clears the root from the denominator.
    https://calculat.io/en/number/cube-root/4-3/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    5/4∛10/2 ≈ 1.0772
    1.33≈ 1.0997
    1.3311.1
    4/3∛36/3 ≈ 1.1006
    1.4≈ 1.1187
    1.5≈ 1.1447
    3/2∛12/2 ≈ 1.1447
    Recalculate with different values ↑

    FAQ

    What is the cube root of 4/3?

    ∛(4/3) = ∛36/3 ≈ 1.1006

    Why is ∛(4/3) = ∛36/3?

    ∛(4/3) = ∛4/∛3. Multiplying the numerator and the denominator by ∛(3²) = ∛9 makes the denominator a perfect cube: ∛36/∛27 = ∛36/3. The value does not change; only the root leaves the denominator.

    Is ∛(4/3) a rational number?

    No: 4/3 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 ∛(4/3) is irrational; its decimal never ends and never repeats: ∛(4/3) ≈ 1.1006.

    See Also