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    Cube Root of 1.5

    Cube Root Calculator
    Cube root of

    What is the cube root of 1.5?

    Answer

    ∛1.5 ≈
    1.1447

    Real cube root: the only number whose cube is 1.5.

    ≈ — rounded to 4 decimal places. 1.5 is not the cube of a rational number, so ∛1.5 is irrational: its decimal expansion never ends and never repeats.

    1.5 = 3/2.

    Between cubes
    1³ = 1 < 1.5 < 8 = 2³, so 1 < ∛1.5 < 2 and ∛1.5 ≈ 1.1447

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    https://calculat.io/en/number/cube-root/1.5Copy
    <a href="https://calculat.io/en/number/cube-root/1.5">Cube Root of 1.5 (∛1.5): Exact Value and Decimal</a>Copy
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    Cube Root of 1.5 (∛1.5): Exact Value and Decimal. ∛1.5 ≈ 1.1447. 1.5 is not the cube of a decimal: 1³ = 1 < 1.5 < 8 = 2³.
    https://calculat.io/en/number/cube-root/1.5/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    1.3311.1
    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
    Recalculate with different values ↑

    FAQ

    What is the cube root of 1.5?

    ∛1.5 ≈ 1.1447

    How to find ∛1.5 without a calculator?

    Bracket it between cubes: 1³ = 1 < 1.5 < 8 = 2³, so ∛1.5 lies between 1 and 2. Narrowing the bracket digit by digit gives ∛1.5 ≈ 1.1447; 1.5 is not the cube of a decimal, so the root never ends.

    Is ∛1.5 a rational number?

    No: 1.5 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 ∛1.5 is irrational; its decimal never ends and never repeats: ∛1.5 ≈ 1.1447.

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