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    Cube Root of 9/2

    Cube Root Calculator
    Cube root of

    What is the cube root of 9/2?

    Answer

    ∛(9/2) =
    ∛36/2 ≈ 1.651

    Real cube root: the only number whose cube is 9/2.

    ≈ — rounded to 4 decimal places. 9/2 is not the cube of a rational number, so ∛(9/2) is irrational: its decimal expansion never ends and never repeats.

    9/2 = 4.5.

    Root of a fraction
    ∛(9/2) = ∛9/∛2
    Multiply by ∛(2²) = ∛4
    ∛9/∛2 = ∛36/∛8 = ∛36/2 ≈ 1.651

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    https://calculat.io/en/number/cube-root/9-2Copy
    <a href="https://calculat.io/en/number/cube-root/9-2">Cube Root of 9/2 (∛(9/2)): Exact Value and Decimal</a>Copy
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    Cube Root of 9/2 (∛(9/2)): Exact Value and Decimal. ∛(9/2) = ∛36/2 ≈ 1.651. ∛(9/2) = ∛9/∛2; multiplying by ∛4 clears the root from the denominator.
    https://calculat.io/en/number/cube-root/9-2/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    4≈ 1.5874
    4.0961.6
    4.5≈ 1.651
    9/2∛36/2 ≈ 1.651
    125/275/3 ≈ 1.6667
    4.9131.7
    5≈ 1.71
    Recalculate with different values ↑

    FAQ

    What is the cube root of 9/2?

    ∛(9/2) = ∛36/2 ≈ 1.651

    Why is ∛(9/2) = ∛36/2?

    ∛(9/2) = ∛9/∛2. Multiplying the numerator and the denominator by ∛(2²) = ∛4 makes the denominator a perfect cube: ∛36/∛8 = ∛36/2. The value does not change; only the root leaves the denominator.

    Is ∛(9/2) a rational number?

    No: 9/2 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 ∛(9/2) is irrational; its decimal never ends and never repeats: ∛(9/2) ≈ 1.651.

    See Also