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    Cube Root of 0.3

    Cube Root Calculator
    Cube root of

    What is the cube root of 0.3?

    Answer

    ∛0.3 ≈
    0.6694

    Real cube root: the only number whose cube is 0.3.

    ≈ — rounded to 4 decimal places. 0.3 is not the cube of a rational number, so ∛0.3 is irrational: its decimal expansion never ends and never repeats.

    Between cubes
    0.6³ = 0.216 < 0.3 < 0.343 = 0.7³, so 0.6 < ∛0.3 < 0.7 and ∛0.3 ≈ 0.6694

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    https://calculat.io/en/number/cube-root/0.3Copy
    <a href="https://calculat.io/en/number/cube-root/0.3">Cube Root of 0.3 (∛0.3): Exact Value and Decimal</a>Copy
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    Cube Root of 0.3 (∛0.3): Exact Value and Decimal. ∛0.3 ≈ 0.6694. 0.3 is not the cube of a decimal: 0.6³ = 0.216 < 0.3 < 0.343 = 0.7³.
    https://calculat.io/en/number/cube-root/0.3/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    0.25≈ 0.63
    1/4∛2/2 ≈ 0.63
    8/272/3 ≈ 0.6667
    0.3≈ 0.6694
    1/3∛9/3 ≈ 0.6934
    0.3430.7
    343/10007/10 = 0.7
    Recalculate with different values ↑

    FAQ

    What is the cube root of 0.3?

    ∛0.3 ≈ 0.6694

    How to find ∛0.3 without a calculator?

    Bracket it between cubes: 0.6³ = 0.216 < 0.3 < 0.343 = 0.7³, so ∛0.3 lies between 0.6 and 0.7. Narrowing the bracket digit by digit gives ∛0.3 ≈ 0.6694; 0.3 is not the cube of a decimal, so the root never ends.

    Is ∛0.3 a rational number?

    No: 0.3 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 ∛0.3 is irrational; its decimal never ends and never repeats: ∛0.3 ≈ 0.6694.

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