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    Cube Root of 3/2

    Cube Root Calculator
    Cube root of

    What is the cube root of 3/2?

    Answer

    ∛(3/2) =
    ∛12/2 ≈ 1.1447

    Real cube root: the only number whose cube is 3/2.

    ≈ — rounded to 4 decimal places. 3/2 is not the cube of a rational number, so ∛(3/2) is irrational: its decimal expansion never ends and never repeats.

    3/2 = 1.5.

    Root of a fraction
    ∛(3/2) = ∛3/∛2
    Multiply by ∛(2²) = ∛4
    ∛3/∛2 = ∛12/∛8 = ∛12/2 ≈ 1.1447

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    https://calculat.io/en/number/cube-root/3-2Copy
    <a href="https://calculat.io/en/number/cube-root/3-2">Cube Root of 3/2 (∛(3/2)): Exact Value and Decimal</a>Copy
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    Cube Root of 3/2 (∛(3/2)): Exact Value and Decimal. ∛(3/2) = ∛12/2 ≈ 1.1447. ∛(3/2) = ∛3/∛2; multiplying by ∛4 clears the root from the denominator.
    https://calculat.io/en/number/cube-root/3-2/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    4/3∛36/3 ≈ 1.1006
    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
    Recalculate with different values ↑

    FAQ

    What is the cube root of 3/2?

    ∛(3/2) = ∛12/2 ≈ 1.1447

    Why is ∛(3/2) = ∛12/2?

    ∛(3/2) = ∛3/∛2. Multiplying the numerator and the denominator by ∛(2²) = ∛4 makes the denominator a perfect cube: ∛12/∛8 = ∛12/2. The value does not change; only the root leaves the denominator.

    Is ∛(3/2) a rational number?

    No: 3/2 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 ∛(3/2) is irrational; its decimal never ends and never repeats: ∛(3/2) ≈ 1.1447.

    See Also