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    Cube Root of 90

    Cube Root Calculator
    Cube root of

    What is the cube root of 90?

    Answer

    ∛90 ≈
    4.4814

    Real cube root: the only number whose cube is 90.

    ≈ — rounded to 4 decimal places. 90 is not the cube of a rational number, so ∛90 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    90 = 2 × 3 × 3 × 5 = 2 × 3² × 5
    Take out of the root
    No prime appears three times, so ∛90 is already in simplest form.
    Between cubes
    4³ = 64 < 90 < 125 = 5³, so 4 < ∛90 < 5 and ∛90 ≈ 4.4814

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    https://calculat.io/en/number/cube-root/90Copy
    <a href="https://calculat.io/en/number/cube-root/90">Cube Root of 90 (∛90): Exact Value and Decimal - Calculatio</a>Copy
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    Cube Root of 90 (∛90): Exact Value and Decimal. ∛90 ≈ 4.4814. 90 has no cube factor but 1, so ∛90 is already simplest; it lies between 4 and 5.
    https://calculat.io/en/number/cube-root/90/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    87≈ 4.431
    882∛11 ≈ 4.448
    89≈ 4.4647
    90≈ 4.4814
    91≈ 4.4979
    91.1254.5
    92≈ 4.5144
    Recalculate with different values ↑

    FAQ

    What is the cube root of 90?

    ∛90 ≈ 4.4814

    Can ∛90 be simplified?

    No: no prime appears three times in 90, so its only cube factor is 1 and ∛90 is already in simplest form. Since 4³ = 64 < 90 < 125 = 5³, ∛90 lies between 4 and 5: ∛90 ≈ 4.4814.

    Is ∛90 a rational number?

    No: 90 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 ∛90 is irrational; its decimal never ends and never repeats: ∛90 ≈ 4.4814.

    See Also