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    Cube Root of 37

    Cube Root Calculator
    Cube root of

    What is the cube root of 37?

    Answer

    ∛37 ≈
    3.3322

    Real cube root: the only number whose cube is 37.

    ≈ — rounded to 4 decimal places. 37 is not the cube of a rational number, so ∛37 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    37 is a prime number: no triple of equal factors.
    Between cubes
    3³ = 27 < 37 < 64 = 4³, so 3 < ∛37 < 4 and ∛37 ≈ 3.3322

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    https://calculat.io/en/number/cube-root/37Copy
    <a href="https://calculat.io/en/number/cube-root/37">Cube Root of 37 (∛37): Exact Value and Decimal - Calculatio</a>Copy
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    Cube Root of 37 (∛37): Exact Value and Decimal. ∛37 ≈ 3.3322. 37 has no cube factor but 1, so ∛37 is already simplest; it lies between 3 and 4.
    https://calculat.io/en/number/cube-root/37/generated.jpgCopy

    FAQ

    What is the cube root of 37?

    ∛37 ≈ 3.3322

    Can ∛37 be simplified?

    No: no prime appears three times in 37, so its only cube factor is 1 and ∛37 is already in simplest form. Since 3³ = 27 < 37 < 64 = 4³, ∛37 lies between 3 and 4: ∛37 ≈ 3.3322.

    Is ∛37 a rational number?

    No: 37 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 ∛37 is irrational; its decimal never ends and never repeats: ∛37 ≈ 3.3322.