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    Cube Root of 87

    Cube Root Calculator
    Cube root of

    What is the cube root of 87?

    Answer

    ∛87 ≈
    4.431

    Real cube root: the only number whose cube is 87.

    ≈ — rounded to 4 decimal places. 87 is not the cube of a rational number, so ∛87 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    87 = 3 × 29
    Take out of the root
    No prime appears three times, so ∛87 is already in simplest form.
    Between cubes
    4³ = 64 < 87 < 125 = 5³, so 4 < ∛87 < 5 and ∛87 ≈ 4.431

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    https://calculat.io/en/number/cube-root/87Copy
    <a href="https://calculat.io/en/number/cube-root/87">Cube Root of 87 (∛87): Exact Value and Decimal - Calculatio</a>Copy
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    Cube Root of 87 (∛87): Exact Value and Decimal. ∛87 ≈ 4.431. 87 has no cube factor but 1, so ∛87 is already simplest; it lies between 4 and 5.
    https://calculat.io/en/number/cube-root/87/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    84≈ 4.3795
    85≈ 4.3968
    86≈ 4.414
    87≈ 4.431
    882∛11 ≈ 4.448
    89≈ 4.4647
    90≈ 4.4814
    Recalculate with different values ↑

    FAQ

    What is the cube root of 87?

    ∛87 ≈ 4.431

    Can ∛87 be simplified?

    No: no prime appears three times in 87, so its only cube factor is 1 and ∛87 is already in simplest form. Since 4³ = 64 < 87 < 125 = 5³, ∛87 lies between 4 and 5: ∛87 ≈ 4.431.

    Is ∛87 a rational number?

    No: 87 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 ∛87 is irrational; its decimal never ends and never repeats: ∛87 ≈ 4.431.

    See Also