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    Cube Root of 180

    Cube Root Calculator
    Cube root of

    What is the cube root of 180?

    Answer

    ∛180 ≈
    5.6462

    Real cube root: the only number whose cube is 180.

    ≈ — rounded to 4 decimal places. 180 is not the cube of a rational number, so ∛180 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    180 = 2 × 2 × 3 × 3 × 5 = 2² × 3² × 5
    Take out of the root
    No prime appears three times, so ∛180 is already in simplest form.
    Between cubes
    5³ = 125 < 180 < 216 = 6³, so 5 < ∛180 < 6 and ∛180 ≈ 5.6462

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    https://calculat.io/en/number/cube-root/180Copy
    <a href="https://calculat.io/en/number/cube-root/180">Cube Root of 180 (∛180): Exact Value and Decimal</a>Copy
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    Cube Root of 180 (∛180): Exact Value and Decimal. ∛180 ≈ 5.6462. 180 has no cube factor but 1, so ∛180 is already simplest; it lies between 5 and 6.
    https://calculat.io/en/number/cube-root/180/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    173≈ 5.5721
    175≈ 5.5934
    178≈ 5.6252
    180≈ 5.6462
    182≈ 5.6671
    187≈ 5.7185
    1893∛7 ≈ 5.7388
    Recalculate with different values ↑

    FAQ

    What is the cube root of 180?

    ∛180 ≈ 5.6462

    Can ∛180 be simplified?

    No: no prime appears three times in 180, so its only cube factor is 1 and ∛180 is already in simplest form. Since 5³ = 125 < 180 < 216 = 6³, ∛180 lies between 5 and 6: ∛180 ≈ 5.6462.

    Is ∛180 a rational number?

    No: 180 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 ∛180 is irrational; its decimal never ends and never repeats: ∛180 ≈ 5.6462.

    See Also