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    Cube Root of 512/729

    Cube Root Calculator
    Cube root of

    What is the cube root of 512/729?

    Answer

    ∛(512/729) =
    8/9 ≈ 0.8889

    Real cube root: the only number whose cube is 512/729.

    ≈ — 8/9 = 0.8888…, a repeating decimal; rounded to 4 decimal places.

    Root of a fraction
    ∛(512/729) = ∛512/∛729 = 8/9

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    https://calculat.io/en/number/cube-root/512-729Copy
    <a href="https://calculat.io/en/number/cube-root/512-729">Cube Root of 512/729 (∛(512/729)): Exact Value and Decimal</a>Copy
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    Cube Root of 512/729 (∛(512/729)): Exact Value and Decimal. ∛(512/729) = 8/9 ≈ 0.8889. ∛(512/729) = ∛512/∛729 = 8/9: both 512 and 729 are perfect cubes.
    https://calculat.io/en/number/cube-root/512-729/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    2/3∛18/3 ≈ 0.8736
    343/5127/8 = 0.875
    0.69≈ 0.8837
    512/7298/9 ≈ 0.8889
    0.7290.9
    729/10009/10 = 0.9
    3/4∛6/2 ≈ 0.9086
    Recalculate with different values ↑

    FAQ

    What is the cube root of 512/729?

    ∛(512/729) = 8/9 ≈ 0.8889

    Why is ∛(512/729) = 8/9?

    The cube root of a fraction is the cube root of the numerator over the cube root of the denominator: ∛(512/729) = ∛512/∛729 = 8/9, because 8³ = 512 and 9³ = 729.

    Is ∛(512/729) a rational number?

    Yes: ∛(512/729) = 8/9 ≈ 0.8889 — a fraction whose decimal repeats, which is why it is shown with ≈.

    See Also