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    Cube Root of 51

    Cube Root Calculator
    Cube root of

    What is the cube root of 51?

    Answer

    ∛51 ≈
    3.7084

    Real cube root: the only number whose cube is 51.

    ≈ — rounded to 4 decimal places. 51 is not the cube of a rational number, so ∛51 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    51 = 3 × 17
    Take out of the root
    No prime appears three times, so ∛51 is already in simplest form.
    Between cubes
    3³ = 27 < 51 < 64 = 4³, so 3 < ∛51 < 4 and ∛51 ≈ 3.7084

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    https://calculat.io/en/number/cube-root/51Copy
    <a href="https://calculat.io/en/number/cube-root/51">Cube Root of 51 (∛51): Exact Value and Decimal - Calculatio</a>Copy
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    Cube Root of 51 (∛51): Exact Value and Decimal. ∛51 ≈ 3.7084. 51 has no cube factor but 1, so ∛51 is already simplest; it lies between 3 and 4.
    https://calculat.io/en/number/cube-root/51/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    482∛6 ≈ 3.6342
    49≈ 3.6593
    50≈ 3.684
    51≈ 3.7084
    52≈ 3.7325
    53≈ 3.7563
    543∛2 ≈ 3.7798
    Recalculate with different values ↑

    FAQ

    What is the cube root of 51?

    ∛51 ≈ 3.7084

    Can ∛51 be simplified?

    No: no prime appears three times in 51, so its only cube factor is 1 and ∛51 is already in simplest form. Since 3³ = 27 < 51 < 64 = 4³, ∛51 lies between 3 and 4: ∛51 ≈ 3.7084.

    Is ∛51 a rational number?

    No: 51 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 ∛51 is irrational; its decimal never ends and never repeats: ∛51 ≈ 3.7084.

    See Also