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    Cube Root of 5/3

    Cube Root Calculator
    Cube root of

    What is the cube root of 5/3?

    Answer

    ∛(5/3) =
    ∛45/3 ≈ 1.1856

    Real cube root: the only number whose cube is 5/3.

    ≈ — rounded to 4 decimal places. 5/3 is not the cube of a rational number, so ∛(5/3) is irrational: its decimal expansion never ends and never repeats.

    Root of a fraction
    ∛(5/3) = ∛5/∛3
    Multiply by ∛(3²) = ∛9
    ∛5/∛3 = ∛45/∛27 = ∛45/3 ≈ 1.1856

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    https://calculat.io/en/number/cube-root/5-3Copy
    <a href="https://calculat.io/en/number/cube-root/5-3">Cube Root of 5/3 (∛(5/3)): Exact Value and Decimal</a>Copy
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    Cube Root of 5/3 (∛(5/3)): Exact Value and Decimal. ∛(5/3) = ∛45/3 ≈ 1.1856. ∛(5/3) = ∛5/∛3; multiplying by ∛9 clears the root from the denominator.
    https://calculat.io/en/number/cube-root/5-3/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    1.4≈ 1.1187
    1.5≈ 1.1447
    3/2∛12/2 ≈ 1.1447
    5/3∛45/3 ≈ 1.1856
    1.7281.2
    2≈ 1.2599
    2.1971.3
    Recalculate with different values ↑

    FAQ

    What is the cube root of 5/3?

    ∛(5/3) = ∛45/3 ≈ 1.1856

    Why is ∛(5/3) = ∛45/3?

    ∛(5/3) = ∛5/∛3. Multiplying the numerator and the denominator by ∛(3²) = ∛9 makes the denominator a perfect cube: ∛45/∛27 = ∛45/3. The value does not change; only the root leaves the denominator.

    Is ∛(5/3) a rational number?

    No: 5/3 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 ∛(5/3) is irrational; its decimal never ends and never repeats: ∛(5/3) ≈ 1.1856.

    See Also