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    Cube Root of 0.1

    Cube Root Calculator
    Cube root of

    What is the cube root of 0.1?

    Answer

    ∛0.1 ≈
    0.4642

    Real cube root: the only number whose cube is 0.1.

    ≈ — rounded to 4 decimal places. 0.1 is not the cube of a rational number, so ∛0.1 is irrational: its decimal expansion never ends and never repeats.

    Between cubes
    0.4³ = 0.064 < 0.1 < 0.125 = 0.5³, so 0.4 < ∛0.1 < 0.5 and ∛0.1 ≈ 0.4642

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    https://calculat.io/en/number/cube-root/0.1Copy
    <a href="https://calculat.io/en/number/cube-root/0.1">Cube Root of 0.1 (∛0.1): Exact Value and Decimal</a>Copy
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    Cube Root of 0.1 (∛0.1): Exact Value and Decimal. ∛0.1 ≈ 0.4642. 0.1 is not the cube of a decimal: 0.4³ = 0.064 < 0.1 < 0.125 = 0.5³.
    https://calculat.io/en/number/cube-root/0.1/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    27/3433/7 ≈ 0.4286
    0.08≈ 0.4309
    64/7294/9 ≈ 0.4444
    0.1≈ 0.4642
    0.1250.5
    1/81/2 = 0.5
    125/7295/9 ≈ 0.5556
    Recalculate with different values ↑

    FAQ

    What is the cube root of 0.1?

    ∛0.1 ≈ 0.4642

    How to find ∛0.1 without a calculator?

    Bracket it between cubes: 0.4³ = 0.064 < 0.1 < 0.125 = 0.5³, so ∛0.1 lies between 0.4 and 0.5. Narrowing the bracket digit by digit gives ∛0.1 ≈ 0.4642; 0.1 is not the cube of a decimal, so the root never ends.

    Is ∛0.1 a rational number?

    No: 0.1 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 ∛0.1 is irrational; its decimal never ends and never repeats: ∛0.1 ≈ 0.4642.

    See Also