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    Cube Root of 2/9

    Cube Root Calculator
    Cube root of

    What is the cube root of 2/9?

    Answer

    ∛(2/9) =
    ∛6/3 ≈ 0.6057

    Real cube root: the only number whose cube is 2/9.

    ≈ — rounded to 4 decimal places. 2/9 is not the cube of a rational number, so ∛(2/9) is irrational: its decimal expansion never ends and never repeats.

    Root of a fraction
    ∛(2/9) = ∛2/∛9
    Multiply by ∛(9²) = ∛81
    ∛2/∛9 = ∛162/∛729 = ∛162/9
    Take out of the root
    ∛162/9 = ∛(3³ × 6)/9 = 3∛6/9 = ∛6/3 ≈ 0.6057

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    https://calculat.io/en/number/cube-root/2-9Copy
    <a href="https://calculat.io/en/number/cube-root/2-9">Cube Root of 2/9 (∛(2/9)): Exact Value and Decimal</a>Copy
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    Cube Root of 2/9 (∛(2/9)): Exact Value and Decimal. ∛(2/9) = ∛6/3 ≈ 0.6057. ∛(2/9) = ∛2/∛9; multiplying by ∛81 clears the root from the denominator.
    https://calculat.io/en/number/cube-root/2-9/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    0.2≈ 0.5848
    0.2160.6
    27/1253/5 = 0.6
    2/9∛6/3 ≈ 0.6057
    125/5125/8 = 0.625
    0.25≈ 0.63
    1/4∛2/2 ≈ 0.63
    Recalculate with different values ↑

    FAQ

    What is the cube root of 2/9?

    ∛(2/9) = ∛6/3 ≈ 0.6057

    Why is ∛(2/9) = ∛6/3?

    ∛(2/9) = ∛2/∛9. Multiplying the numerator and the denominator by ∛(9²) = ∛81 makes the denominator a perfect cube: ∛162/∛729 = ∛162/9. Taking the cubes out of ∛162 and reducing gives ∛6/3. The value does not change; only the root leaves the denominator.

    Is ∛(2/9) a rational number?

    No: 2/9 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 ∛(2/9) is irrational; its decimal never ends and never repeats: ∛(2/9) ≈ 0.6057.

    See Also