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    Cube Root of 74

    Cube Root Calculator
    Cube root of

    What is the cube root of 74?

    Answer

    ∛74 ≈
    4.1983

    Real cube root: the only number whose cube is 74.

    ≈ — rounded to 4 decimal places. 74 is not the cube of a rational number, so ∛74 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    74 = 2 × 37
    Take out of the root
    No prime appears three times, so ∛74 is already in simplest form.
    Between cubes
    4³ = 64 < 74 < 125 = 5³, so 4 < ∛74 < 5 and ∛74 ≈ 4.1983

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    https://calculat.io/en/number/cube-root/74Copy
    <a href="https://calculat.io/en/number/cube-root/74">Cube Root of 74 (∛74): Exact Value and Decimal - Calculatio</a>Copy
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    Cube Root of 74 (∛74): Exact Value and Decimal. ∛74 ≈ 4.1983. 74 has no cube factor but 1, so ∛74 is already simplest; it lies between 4 and 5.
    https://calculat.io/en/number/cube-root/74/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    71≈ 4.1408
    722∛9 ≈ 4.1602
    73≈ 4.1793
    74≈ 4.1983
    75≈ 4.2172
    76≈ 4.2358
    77≈ 4.2543
    Recalculate with different values ↑

    FAQ

    What is the cube root of 74?

    ∛74 ≈ 4.1983

    Can ∛74 be simplified?

    No: no prime appears three times in 74, so its only cube factor is 1 and ∛74 is already in simplest form. Since 4³ = 64 < 74 < 125 = 5³, ∛74 lies between 4 and 5: ∛74 ≈ 4.1983.

    Is ∛74 a rational number?

    No: 74 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 ∛74 is irrational; its decimal never ends and never repeats: ∛74 ≈ 4.1983.

    See Also