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    Cube Root of 20.25

    Cube Root Calculator
    Cube root of

    What is the cube root of 20.25?

    Answer

    ∛20.25 ≈
    2.7257

    Real cube root: the only number whose cube is 20.25.

    ≈ — rounded to 4 decimal places. 20.25 is not the cube of a rational number, so ∛20.25 is irrational: its decimal expansion never ends and never repeats.

    Between cubes
    2³ = 8 < 20.25 < 27 = 3³, so 2 < ∛20.25 < 3 and ∛20.25 ≈ 2.7257

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    https://calculat.io/en/number/cube-root/20.25Copy
    <a href="https://calculat.io/en/number/cube-root/20.25">Cube Root of 20.25 (∛20.25): Exact Value and Decimal</a>Copy
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    Cube Root of 20.25 (∛20.25): Exact Value and Decimal. ∛20.25 ≈ 2.7257. 20.25 is not the cube of a decimal: 2³ = 8 < 20.25 < 27 = 3³.
    https://calculat.io/en/number/cube-root/20.25/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    18≈ 2.6207
    19≈ 2.6684
    20≈ 2.7144
    20.25≈ 2.7257
    21≈ 2.7589
    22≈ 2.802
    23≈ 2.8439
    Recalculate with different values ↑

    FAQ

    What is the cube root of 20.25?

    ∛20.25 ≈ 2.7257

    How to find ∛20.25 without a calculator?

    Bracket it between cubes: 2³ = 8 < 20.25 < 27 = 3³, so ∛20.25 lies between 2 and 3. Narrowing the bracket digit by digit gives ∛20.25 ≈ 2.7257; 20.25 is not the cube of a decimal, so the root never ends.

    Is ∛20.25 a rational number?

    No: 20.25 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 ∛20.25 is irrational; its decimal never ends and never repeats: ∛20.25 ≈ 2.7257.

    See Also