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    Cube Root of 42

    Cube Root Calculator
    Cube root of

    What is the cube root of 42?

    Answer

    ∛42 ≈
    3.476

    Real cube root: the only number whose cube is 42.

    ≈ — rounded to 4 decimal places. 42 is not the cube of a rational number, so ∛42 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    42 = 2 × 3 × 7
    Take out of the root
    No prime appears three times, so ∛42 is already in simplest form.
    Between cubes
    3³ = 27 < 42 < 64 = 4³, so 3 < ∛42 < 4 and ∛42 ≈ 3.476

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    https://calculat.io/en/number/cube-root/42Copy
    <a href="https://calculat.io/en/number/cube-root/42">Cube Root of 42 (∛42): Exact Value and Decimal - Calculatio</a>Copy
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    Cube Root of 42 (∛42): Exact Value and Decimal. ∛42 ≈ 3.476. 42 has no cube factor but 1, so ∛42 is already simplest; it lies between 3 and 4.
    https://calculat.io/en/number/cube-root/42/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    39≈ 3.3912
    402∛5 ≈ 3.42
    41≈ 3.4482
    42≈ 3.476
    42.8753.5
    43≈ 3.5034
    44≈ 3.5303
    Recalculate with different values ↑

    FAQ

    What is the cube root of 42?

    ∛42 ≈ 3.476

    Can ∛42 be simplified?

    No: no prime appears three times in 42, so its only cube factor is 1 and ∛42 is already in simplest form. Since 3³ = 27 < 42 < 64 = 4³, ∛42 lies between 3 and 4: ∛42 ≈ 3.476.

    Is ∛42 a rational number?

    No: 42 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 ∛42 is irrational; its decimal never ends and never repeats: ∛42 ≈ 3.476.

    See Also