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    Cube Root of 64/343

    Cube Root Calculator
    Cube root of

    What is the cube root of 64/343?

    Answer

    ∛(64/343) =
    4/7 ≈ 0.5714

    Real cube root: the only number whose cube is 64/343.

    ≈ — 4/7 = 0.5714…, a repeating decimal; rounded to 4 decimal places.

    Root of a fraction
    ∛(64/343) = ∛64/∛343 = 4/7

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    https://calculat.io/en/number/cube-root/64-343Copy
    <a href="https://calculat.io/en/number/cube-root/64-343">Cube Root of 64/343 (∛(64/343)): Exact Value and Decimal</a>Copy
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    Cube Root of 64/343 (∛(64/343)): Exact Value and Decimal. ∛(64/343) = 4/7 ≈ 0.5714. ∛(64/343) = ∛64/∛343 = 4/7: both 64 and 343 are perfect cubes.
    https://calculat.io/en/number/cube-root/64-343/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    0.1250.5
    1/81/2 = 0.5
    125/7295/9 ≈ 0.5556
    64/3434/7 ≈ 0.5714
    0.2≈ 0.5848
    0.2160.6
    27/1253/5 = 0.6
    Recalculate with different values ↑

    FAQ

    What is the cube root of 64/343?

    ∛(64/343) = 4/7 ≈ 0.5714

    Why is ∛(64/343) = 4/7?

    The cube root of a fraction is the cube root of the numerator over the cube root of the denominator: ∛(64/343) = ∛64/∛343 = 4/7, because 4³ = 64 and 7³ = 343.

    Is ∛(64/343) a rational number?

    Yes: ∛(64/343) = 4/7 ≈ 0.5714 — a fraction whose decimal repeats, which is why it is shown with ≈.

    See Also