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    Cube Root of 46

    Cube Root Calculator
    Cube root of

    What is the cube root of 46?

    Answer

    ∛46 ≈
    3.583

    Real cube root: the only number whose cube is 46.

    ≈ — rounded to 4 decimal places. 46 is not the cube of a rational number, so ∛46 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    46 = 2 × 23
    Take out of the root
    No prime appears three times, so ∛46 is already in simplest form.
    Between cubes
    3³ = 27 < 46 < 64 = 4³, so 3 < ∛46 < 4 and ∛46 ≈ 3.583

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    https://calculat.io/en/number/cube-root/46Copy
    <a href="https://calculat.io/en/number/cube-root/46">Cube Root of 46 (∛46): Exact Value and Decimal - Calculatio</a>Copy
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    Cube Root of 46 (∛46): Exact Value and Decimal. ∛46 ≈ 3.583. 46 has no cube factor but 1, so ∛46 is already simplest; it lies between 3 and 4.
    https://calculat.io/en/number/cube-root/46/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    43≈ 3.5034
    44≈ 3.5303
    45≈ 3.5569
    46≈ 3.583
    47≈ 3.6088
    482∛6 ≈ 3.6342
    49≈ 3.6593
    Recalculate with different values ↑

    FAQ

    What is the cube root of 46?

    ∛46 ≈ 3.583

    Can ∛46 be simplified?

    No: no prime appears three times in 46, so its only cube factor is 1 and ∛46 is already in simplest form. Since 3³ = 27 < 46 < 64 = 4³, ∛46 lies between 3 and 4: ∛46 ≈ 3.583.

    Is ∛46 a rational number?

    No: 46 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 ∛46 is irrational; its decimal never ends and never repeats: ∛46 ≈ 3.583.

    See Also