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    Cube Root of 20

    Cube Root Calculator
    Cube root of

    What is the cube root of 20?

    Answer

    ∛20 ≈
    2.7144

    Real cube root: the only number whose cube is 20.

    ≈ — rounded to 4 decimal places. 20 is not the cube of a rational number, so ∛20 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    20 = 2 × 2 × 5 = 2² × 5
    Take out of the root
    No prime appears three times, so ∛20 is already in simplest form.
    Between cubes
    2³ = 8 < 20 < 27 = 3³, so 2 < ∛20 < 3 and ∛20 ≈ 2.7144

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    https://calculat.io/en/number/cube-root/20Copy
    <a href="https://calculat.io/en/number/cube-root/20">Cube Root of 20 (∛20): Exact Value and Decimal - Calculatio</a>Copy
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    Cube Root of 20 (∛20): Exact Value and Decimal. ∛20 ≈ 2.7144. 20 has no cube factor but 1, so ∛20 is already simplest; it lies between 2 and 3.
    https://calculat.io/en/number/cube-root/20/generated.jpgCopy

    FAQ

    What is the cube root of 20?

    ∛20 ≈ 2.7144

    Can ∛20 be simplified?

    No: no prime appears three times in 20, so its only cube factor is 1 and ∛20 is already in simplest form. Since 2³ = 8 < 20 < 27 = 3³, ∛20 lies between 2 and 3: ∛20 ≈ 2.7144.

    Is ∛20 a rational number?

    No: 20 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 is irrational; its decimal never ends and never repeats: ∛20 ≈ 2.7144.