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    Cube Root of 216/343

    Cube Root Calculator
    Cube root of

    What is the cube root of 216/343?

    Answer

    ∛(216/343) =
    6/7 ≈ 0.8571

    Real cube root: the only number whose cube is 216/343.

    ≈ — 6/7 = 0.8571…, a repeating decimal; rounded to 4 decimal places.

    Root of a fraction
    ∛(216/343) = ∛216/∛343 = 6/7

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    https://calculat.io/en/number/cube-root/216-343Copy
    <a href="https://calculat.io/en/number/cube-root/216-343">Cube Root of 216/343 (∛(216/343)): Exact Value and Decimal</a>Copy
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    Cube Root of 216/343 (∛(216/343)): Exact Value and Decimal. ∛(216/343) = 6/7 ≈ 0.8571. ∛(216/343) = ∛216/∛343 = 6/7: both 216 and 343 are perfect cubes.
    https://calculat.io/en/number/cube-root/216-343/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    64/1254/5 = 0.8
    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
    Recalculate with different values ↑

    FAQ

    What is the cube root of 216/343?

    ∛(216/343) = 6/7 ≈ 0.8571

    Why is ∛(216/343) = 6/7?

    The cube root of a fraction is the cube root of the numerator over the cube root of the denominator: ∛(216/343) = ∛216/∛343 = 6/7, because 6³ = 216 and 7³ = 343.

    Is ∛(216/343) a rational number?

    Yes: ∛(216/343) = 6/7 ≈ 0.8571 — a fraction whose decimal repeats, which is why it is shown with ≈.

    See Also