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    Cube Root of 2.25

    Cube Root Calculator
    Cube root of

    What is the cube root of 2.25?

    Answer

    ∛2.25 ≈
    1.3104

    Real cube root: the only number whose cube is 2.25.

    ≈ — rounded to 4 decimal places. 2.25 is not the cube of a rational number, so ∛2.25 is irrational: its decimal expansion never ends and never repeats.

    Between cubes
    1³ = 1 < 2.25 < 8 = 2³, so 1 < ∛2.25 < 2 and ∛2.25 ≈ 1.3104

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    https://calculat.io/en/number/cube-root/2.25Copy
    <a href="https://calculat.io/en/number/cube-root/2.25">Cube Root of 2.25 (∛2.25): Exact Value and Decimal</a>Copy
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    Cube Root of 2.25 (∛2.25): Exact Value and Decimal. ∛2.25 ≈ 1.3104. 2.25 is not the cube of a decimal: 1³ = 1 < 2.25 < 8 = 2³.
    https://calculat.io/en/number/cube-root/2.25/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    1.7281.2
    2≈ 1.2599
    2.1971.3
    2.25≈ 1.3104
    2.5≈ 1.3572
    5/2∛20/2 ≈ 1.3572
    2.7≈ 1.3925
    Recalculate with different values ↑

    FAQ

    What is the cube root of 2.25?

    ∛2.25 ≈ 1.3104

    How to find ∛2.25 without a calculator?

    Bracket it between cubes: 1³ = 1 < 2.25 < 8 = 2³, so ∛2.25 lies between 1 and 2. Narrowing the bracket digit by digit gives ∛2.25 ≈ 1.3104; 2.25 is not the cube of a decimal, so the root never ends.

    Is ∛2.25 a rational number?

    No: 2.25 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 ∛2.25 is irrational; its decimal never ends and never repeats: ∛2.25 ≈ 1.3104.

    See Also