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    Cube Root of 67

    Cube Root Calculator
    Cube root of

    What is the cube root of 67?

    Answer

    ∛67 ≈
    4.0615

    Real cube root: the only number whose cube is 67.

    ≈ — rounded to 4 decimal places. 67 is not the cube of a rational number, so ∛67 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    67 is a prime number: no triple of equal factors.
    Between cubes
    4³ = 64 < 67 < 125 = 5³, so 4 < ∛67 < 5 and ∛67 ≈ 4.0615

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    https://calculat.io/en/number/cube-root/67Copy
    <a href="https://calculat.io/en/number/cube-root/67">Cube Root of 67 (∛67): Exact Value and Decimal - Calculatio</a>Copy
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    Cube Root of 67 (∛67): Exact Value and Decimal. ∛67 ≈ 4.0615. 67 has no cube factor but 1, so ∛67 is already simplest; it lies between 4 and 5.
    https://calculat.io/en/number/cube-root/67/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    644
    65≈ 4.0207
    66≈ 4.0412
    67≈ 4.0615
    68≈ 4.0817
    69≈ 4.1016
    70≈ 4.1213
    Recalculate with different values ↑

    FAQ

    What is the cube root of 67?

    ∛67 ≈ 4.0615

    Can ∛67 be simplified?

    No: no prime appears three times in 67, so its only cube factor is 1 and ∛67 is already in simplest form. Since 4³ = 64 < 67 < 125 = 5³, ∛67 lies between 4 and 5: ∛67 ≈ 4.0615.

    Is ∛67 a rational number?

    No: 67 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 ∛67 is irrational; its decimal never ends and never repeats: ∛67 ≈ 4.0615.

    See Also