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    Cube Root of 5/2

    Cube Root Calculator
    Cube root of

    What is the cube root of 5/2?

    Answer

    ∛(5/2) =
    ∛20/2 ≈ 1.3572

    Real cube root: the only number whose cube is 5/2.

    ≈ — rounded to 4 decimal places. 5/2 is not the cube of a rational number, so ∛(5/2) is irrational: its decimal expansion never ends and never repeats.

    5/2 = 2.5.

    Root of a fraction
    ∛(5/2) = ∛5/∛2
    Multiply by ∛(2²) = ∛4
    ∛5/∛2 = ∛20/∛8 = ∛20/2 ≈ 1.3572

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    https://calculat.io/en/number/cube-root/5-2Copy
    <a href="https://calculat.io/en/number/cube-root/5-2">Cube Root of 5/2 (∛(5/2)): Exact Value and Decimal</a>Copy
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    Cube Root of 5/2 (∛(5/2)): Exact Value and Decimal. ∛(5/2) = ∛20/2 ≈ 1.3572. ∛(5/2) = ∛5/∛2; multiplying by ∛4 clears the root from the denominator.
    https://calculat.io/en/number/cube-root/5-2/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    2.1971.3
    2.25≈ 1.3104
    2.5≈ 1.3572
    5/2∛20/2 ≈ 1.3572
    2.7≈ 1.3925
    2.7441.4
    2.8≈ 1.4095
    Recalculate with different values ↑

    FAQ

    What is the cube root of 5/2?

    ∛(5/2) = ∛20/2 ≈ 1.3572

    Why is ∛(5/2) = ∛20/2?

    ∛(5/2) = ∛5/∛2. Multiplying the numerator and the denominator by ∛(2²) = ∛4 makes the denominator a perfect cube: ∛20/∛8 = ∛20/2. The value does not change; only the root leaves the denominator.

    Is ∛(5/2) a rational number?

    No: 5/2 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 ∛(5/2) is irrational; its decimal never ends and never repeats: ∛(5/2) ≈ 1.3572.

    See Also