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    Cube Root of 1/343

    Cube Root Calculator
    Cube root of

    What is the cube root of 1/343?

    Answer

    ∛(1/343) =
    1/7 ≈ 0.1429

    Real cube root: the only number whose cube is 1/343.

    ≈ — 1/7 = 0.1428…, a repeating decimal; rounded to 4 decimal places.

    Root of a fraction
    ∛(1/343) = ∛1/∛343 = 1/7

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    https://calculat.io/en/number/cube-root/1-343Copy
    <a href="https://calculat.io/en/number/cube-root/1-343">Cube Root of 1/343 (∛(1/343)): Exact Value and Decimal</a>Copy
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    Cube Root of 1/343 (∛(1/343)): Exact Value and Decimal. ∛(1/343) = 1/7 ≈ 0.1429. ∛(1/343) = ∛1/∛343 = 1/7: both 1 and 343 are perfect cubes.
    https://calculat.io/en/number/cube-root/1-343/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    0.0017280.12
    1/5121/8 = 0.125
    0.002≈ 0.126
    1/3431/7 ≈ 0.1429
    1/2161/6 ≈ 0.1667
    0.0080.2
    1/1251/5 = 0.2
    Recalculate with different values ↑

    FAQ

    What is the cube root of 1/343?

    ∛(1/343) = 1/7 ≈ 0.1429

    Why is ∛(1/343) = 1/7?

    The cube root of a fraction is the cube root of the numerator over the cube root of the denominator: ∛(1/343) = ∛1/∛343 = 1/7, because 1³ = 1 and 7³ = 343.

    Is ∛(1/343) a rational number?

    Yes: ∛(1/343) = 1/7 ≈ 0.1429 — a fraction whose decimal repeats, which is why it is shown with ≈.

    See Also