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    Cube Root of 620

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    Cube root of

    What is the cube root of 620?

    Answer

    ∛620 ≈
    8.527

    Real cube root: the only number whose cube is 620.

    ≈ — rounded to 4 decimal places. 620 is not the cube of a rational number, so ∛620 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    620 = 2 × 2 × 5 × 31 = 2² × 5 × 31
    Take out of the root
    No prime appears three times, so ∛620 is already in simplest form.
    Between cubes
    8³ = 512 < 620 < 729 = 9³, so 8 < ∛620 < 9 and ∛620 ≈ 8.527

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    https://calculat.io/en/number/cube-root/620Copy
    <a href="https://calculat.io/en/number/cube-root/620">Cube Root of 620 (∛620): Exact Value and Decimal</a>Copy
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    Cube Root of 620 (∛620): Exact Value and Decimal. ∛620 ≈ 8.527. 620 has no cube factor but 1, so ∛620 is already simplest; it lies between 8 and 9.
    https://calculat.io/en/number/cube-root/620/generated.jpgCopy

    FAQ

    What is the cube root of 620?

    ∛620 ≈ 8.527

    Can ∛620 be simplified?

    No: no prime appears three times in 620, so its only cube factor is 1 and ∛620 is already in simplest form. Since 8³ = 512 < 620 < 729 = 9³, ∛620 lies between 8 and 9: ∛620 ≈ 8.527.

    Is ∛620 a rational number?

    No: 620 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 ∛620 is irrational; its decimal never ends and never repeats: ∛620 ≈ 8.527.