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    Cube Root of 69

    Cube Root Calculator
    Cube root of

    What is the cube root of 69?

    Answer

    ∛69 ≈
    4.1016

    Real cube root: the only number whose cube is 69.

    ≈ — rounded to 4 decimal places. 69 is not the cube of a rational number, so ∛69 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    69 = 3 × 23
    Take out of the root
    No prime appears three times, so ∛69 is already in simplest form.
    Between cubes
    4³ = 64 < 69 < 125 = 5³, so 4 < ∛69 < 5 and ∛69 ≈ 4.1016

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    https://calculat.io/en/number/cube-root/69Copy
    <a href="https://calculat.io/en/number/cube-root/69">Cube Root of 69 (∛69): Exact Value and Decimal - Calculatio</a>Copy
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    Cube Root of 69 (∛69): Exact Value and Decimal. ∛69 ≈ 4.1016. 69 has no cube factor but 1, so ∛69 is already simplest; it lies between 4 and 5.
    https://calculat.io/en/number/cube-root/69/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    66≈ 4.0412
    67≈ 4.0615
    68≈ 4.0817
    69≈ 4.1016
    70≈ 4.1213
    71≈ 4.1408
    722∛9 ≈ 4.1602
    Recalculate with different values ↑

    FAQ

    What is the cube root of 69?

    ∛69 ≈ 4.1016

    Can ∛69 be simplified?

    No: no prime appears three times in 69, so its only cube factor is 1 and ∛69 is already in simplest form. Since 4³ = 64 < 69 < 125 = 5³, ∛69 lies between 4 and 5: ∛69 ≈ 4.1016.

    Is ∛69 a rational number?

    No: 69 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 ∛69 is irrational; its decimal never ends and never repeats: ∛69 ≈ 4.1016.

    See Also