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    Cube Root of 27/343

    Cube Root Calculator
    Cube root of

    What is the cube root of 27/343?

    Answer

    ∛(27/343) =
    3/7 ≈ 0.4286

    Real cube root: the only number whose cube is 27/343.

    ≈ — 3/7 = 0.4285…, a repeating decimal; rounded to 4 decimal places.

    Root of a fraction
    ∛(27/343) = ∛27/∛343 = 3/7

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    https://calculat.io/en/number/cube-root/27-343Copy
    <a href="https://calculat.io/en/number/cube-root/27-343">Cube Root of 27/343 (∛(27/343)): Exact Value and Decimal</a>Copy
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    Cube Root of 27/343 (∛(27/343)): Exact Value and Decimal. ∛(27/343) = 3/7 ≈ 0.4286. ∛(27/343) = ∛27/∛343 = 3/7: both 27 and 343 are perfect cubes.
    https://calculat.io/en/number/cube-root/27-343/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    27/5123/8 = 0.375
    0.0640.4
    8/1252/5 = 0.4
    27/3433/7 ≈ 0.4286
    0.08≈ 0.4309
    64/7294/9 ≈ 0.4444
    0.1≈ 0.4642
    Recalculate with different values ↑

    FAQ

    What is the cube root of 27/343?

    ∛(27/343) = 3/7 ≈ 0.4286

    Why is ∛(27/343) = 3/7?

    The cube root of a fraction is the cube root of the numerator over the cube root of the denominator: ∛(27/343) = ∛27/∛343 = 3/7, because 3³ = 27 and 7³ = 343.

    Is ∛(27/343) a rational number?

    Yes: ∛(27/343) = 3/7 ≈ 0.4286 — a fraction whose decimal repeats, which is why it is shown with ≈.

    See Also