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    Cube Root of 70

    Cube Root Calculator
    Cube root of

    What is the cube root of 70?

    Answer

    ∛70 ≈
    4.1213

    Real cube root: the only number whose cube is 70.

    ≈ — rounded to 4 decimal places. 70 is not the cube of a rational number, so ∛70 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    70 = 2 × 5 × 7
    Take out of the root
    No prime appears three times, so ∛70 is already in simplest form.
    Between cubes
    4³ = 64 < 70 < 125 = 5³, so 4 < ∛70 < 5 and ∛70 ≈ 4.1213

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    https://calculat.io/en/number/cube-root/70Copy
    <a href="https://calculat.io/en/number/cube-root/70">Cube Root of 70 (∛70): Exact Value and Decimal - Calculatio</a>Copy
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    Cube Root of 70 (∛70): Exact Value and Decimal. ∛70 ≈ 4.1213. 70 has no cube factor but 1, so ∛70 is already simplest; it lies between 4 and 5.
    https://calculat.io/en/number/cube-root/70/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    67≈ 4.0615
    68≈ 4.0817
    69≈ 4.1016
    70≈ 4.1213
    71≈ 4.1408
    722∛9 ≈ 4.1602
    73≈ 4.1793
    Recalculate with different values ↑

    FAQ

    What is the cube root of 70?

    ∛70 ≈ 4.1213

    Can ∛70 be simplified?

    No: no prime appears three times in 70, so its only cube factor is 1 and ∛70 is already in simplest form. Since 4³ = 64 < 70 < 125 = 5³, ∛70 lies between 4 and 5: ∛70 ≈ 4.1213.

    Is ∛70 a rational number?

    No: 70 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 ∛70 is irrational; its decimal never ends and never repeats: ∛70 ≈ 4.1213.

    See Also