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    Cube Root of 4/5

    Cube Root Calculator
    Cube root of

    What is the cube root of 4/5?

    Answer

    ∛(4/5) =
    ∛100/5 ≈ 0.9283

    Real cube root: the only number whose cube is 4/5.

    ≈ — rounded to 4 decimal places. 4/5 is not the cube of a rational number, so ∛(4/5) is irrational: its decimal expansion never ends and never repeats.

    4/5 = 0.8.

    Root of a fraction
    ∛(4/5) = ∛4/∛5
    Multiply by ∛(5²) = ∛25
    ∛4/∛5 = ∛100/∛125 = ∛100/5 ≈ 0.9283

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    https://calculat.io/en/number/cube-root/4-5Copy
    <a href="https://calculat.io/en/number/cube-root/4-5">Cube Root of 4/5 (∛(4/5)): Exact Value and Decimal</a>Copy
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    Cube Root of 4/5 (∛(4/5)): Exact Value and Decimal. ∛(4/5) = ∛100/5 ≈ 0.9283. ∛(4/5) = ∛4/∛5; multiplying by ∛25 clears the root from the denominator.
    https://calculat.io/en/number/cube-root/4-5/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    729/10009/10 = 0.9
    3/4∛6/2 ≈ 0.9086
    0.8≈ 0.9283
    4/5∛100/5 ≈ 0.9283
    11
    1.1≈ 1.0323
    1.12≈ 1.0385
    Recalculate with different values ↑

    FAQ

    What is the cube root of 4/5?

    ∛(4/5) = ∛100/5 ≈ 0.9283

    Why is ∛(4/5) = ∛100/5?

    ∛(4/5) = ∛4/∛5. Multiplying the numerator and the denominator by ∛(5²) = ∛25 makes the denominator a perfect cube: ∛100/∛125 = ∛100/5. The value does not change; only the root leaves the denominator.

    Is ∛(4/5) a rational number?

    No: 4/5 is not the cube of a rational number, and the cube root of a fraction p/q in lowest terms is rational only when p and q are both cubes. So ∛(4/5) is irrational; its decimal never ends and never repeats: ∛(4/5) ≈ 0.9283.

    See Also