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    Cube Root of 4.5

    Cube Root Calculator
    Cube root of

    What is the cube root of 4.5?

    Answer

    ∛4.5 ≈
    1.651

    Real cube root: the only number whose cube is 4.5.

    ≈ — rounded to 4 decimal places. 4.5 is not the cube of a rational number, so ∛4.5 is irrational: its decimal expansion never ends and never repeats.

    4.5 = 9/2.

    Between cubes
    1³ = 1 < 4.5 < 8 = 2³, so 1 < ∛4.5 < 2 and ∛4.5 ≈ 1.651

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    https://calculat.io/en/number/cube-root/4.5Copy
    <a href="https://calculat.io/en/number/cube-root/4.5">Cube Root of 4.5 (∛4.5): Exact Value and Decimal</a>Copy
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    Cube Root of 4.5 (∛4.5): Exact Value and Decimal. ∛4.5 ≈ 1.651. 4.5 is not the cube of a decimal: 1³ = 1 < 4.5 < 8 = 2³.
    https://calculat.io/en/number/cube-root/4.5/generated.jpgCopy

    FAQ

    What is the cube root of 4.5?

    ∛4.5 ≈ 1.651

    How to find ∛4.5 without a calculator?

    Bracket it between cubes: 1³ = 1 < 4.5 < 8 = 2³, so ∛4.5 lies between 1 and 2. Narrowing the bracket digit by digit gives ∛4.5 ≈ 1.651; 4.5 is not the cube of a decimal, so the root never ends.

    Is ∛4.5 a rational number?

    No: 4.5 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 ∛4.5 is irrational; its decimal never ends and never repeats: ∛4.5 ≈ 1.651.