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    Cube Root of 47

    Cube Root Calculator
    Cube root of

    What is the cube root of 47?

    Answer

    ∛47 ≈
    3.6088

    Real cube root: the only number whose cube is 47.

    ≈ — rounded to 4 decimal places. 47 is not the cube of a rational number, so ∛47 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    47 is a prime number: no triple of equal factors.
    Between cubes
    3³ = 27 < 47 < 64 = 4³, so 3 < ∛47 < 4 and ∛47 ≈ 3.6088

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    https://calculat.io/en/number/cube-root/47Copy
    <a href="https://calculat.io/en/number/cube-root/47">Cube Root of 47 (∛47): Exact Value and Decimal - Calculatio</a>Copy
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    Cube Root of 47 (∛47): Exact Value and Decimal. ∛47 ≈ 3.6088. 47 has no cube factor but 1, so ∛47 is already simplest; it lies between 3 and 4.
    https://calculat.io/en/number/cube-root/47/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    44≈ 3.5303
    45≈ 3.5569
    46≈ 3.583
    47≈ 3.6088
    482∛6 ≈ 3.6342
    49≈ 3.6593
    50≈ 3.684
    Recalculate with different values ↑

    FAQ

    What is the cube root of 47?

    ∛47 ≈ 3.6088

    Can ∛47 be simplified?

    No: no prime appears three times in 47, so its only cube factor is 1 and ∛47 is already in simplest form. Since 3³ = 27 < 47 < 64 = 4³, ∛47 lies between 3 and 4: ∛47 ≈ 3.6088.

    Is ∛47 a rational number?

    No: 47 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 ∛47 is irrational; its decimal never ends and never repeats: ∛47 ≈ 3.6088.

    See Also