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    Cube Root of 68

    Cube Root Calculator
    Cube root of

    What is the cube root of 68?

    Answer

    ∛68 ≈
    4.0817

    Real cube root: the only number whose cube is 68.

    ≈ — rounded to 4 decimal places. 68 is not the cube of a rational number, so ∛68 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    68 = 2 × 2 × 17 = 2² × 17
    Take out of the root
    No prime appears three times, so ∛68 is already in simplest form.
    Between cubes
    4³ = 64 < 68 < 125 = 5³, so 4 < ∛68 < 5 and ∛68 ≈ 4.0817

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    https://calculat.io/en/number/cube-root/68Copy
    <a href="https://calculat.io/en/number/cube-root/68">Cube Root of 68 (∛68): Exact Value and Decimal - Calculatio</a>Copy
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    Cube Root of 68 (∛68): Exact Value and Decimal. ∛68 ≈ 4.0817. 68 has no cube factor but 1, so ∛68 is already simplest; it lies between 4 and 5.
    https://calculat.io/en/number/cube-root/68/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    65≈ 4.0207
    66≈ 4.0412
    67≈ 4.0615
    68≈ 4.0817
    69≈ 4.1016
    70≈ 4.1213
    71≈ 4.1408
    Recalculate with different values ↑

    FAQ

    What is the cube root of 68?

    ∛68 ≈ 4.0817

    Can ∛68 be simplified?

    No: no prime appears three times in 68, so its only cube factor is 1 and ∛68 is already in simplest form. Since 4³ = 64 < 68 < 125 = 5³, ∛68 lies between 4 and 5: ∛68 ≈ 4.0817.

    Is ∛68 a rational number?

    No: 68 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 ∛68 is irrational; its decimal never ends and never repeats: ∛68 ≈ 4.0817.

    See Also