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    Cube Root of 700

    Cube Root Calculator
    Cube root of

    What is the cube root of 700?

    Answer

    ∛700 ≈
    8.879

    Real cube root: the only number whose cube is 700.

    ≈ — rounded to 4 decimal places. 700 is not the cube of a rational number, so ∛700 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    700 = 2 × 2 × 5 × 5 × 7 = 2² × 5² × 7
    Take out of the root
    No prime appears three times, so ∛700 is already in simplest form.
    Between cubes
    8³ = 512 < 700 < 729 = 9³, so 8 < ∛700 < 9 and ∛700 ≈ 8.879

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    https://calculat.io/en/number/cube-root/700Copy
    <a href="https://calculat.io/en/number/cube-root/700">Cube Root of 700 (∛700): Exact Value and Decimal</a>Copy
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    Cube Root of 700 (∛700): Exact Value and Decimal. ∛700 ≈ 8.879. 700 has no cube factor but 1, so ∛700 is already simplest; it lies between 8 and 9.
    https://calculat.io/en/number/cube-root/700/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    620≈ 8.527
    6255∛5 ≈ 8.5499
    6867∛2 ≈ 8.8194
    700≈ 8.879
    7299
    730≈ 9.0041
    7684∛12 ≈ 9.1577
    Recalculate with different values ↑

    FAQ

    What is the cube root of 700?

    ∛700 ≈ 8.879

    Can ∛700 be simplified?

    No: no prime appears three times in 700, so its only cube factor is 1 and ∛700 is already in simplest form. Since 8³ = 512 < 700 < 729 = 9³, ∛700 lies between 8 and 9: ∛700 ≈ 8.879.

    Is ∛700 a rational number?

    No: 700 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 ∛700 is irrational; its decimal never ends and never repeats: ∛700 ≈ 8.879.

    See Also