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    Cube Root of 150

    Cube Root Calculator
    Cube root of

    What is the cube root of 150?

    Answer

    ∛150 ≈
    5.3133

    Real cube root: the only number whose cube is 150.

    ≈ — rounded to 4 decimal places. 150 is not the cube of a rational number, so ∛150 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    150 = 2 × 3 × 5 × 5 = 2 × 3 × 5²
    Take out of the root
    No prime appears three times, so ∛150 is already in simplest form.
    Between cubes
    5³ = 125 < 150 < 216 = 6³, so 5 < ∛150 < 6 and ∛150 ≈ 5.3133

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    https://calculat.io/en/number/cube-root/150Copy
    <a href="https://calculat.io/en/number/cube-root/150">Cube Root of 150 (∛150): Exact Value and Decimal</a>Copy
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    Cube Root of 150 (∛150): Exact Value and Decimal. ∛150 ≈ 5.3133. 150 has no cube factor but 1, so ∛150 is already simplest; it lies between 5 and 6.
    https://calculat.io/en/number/cube-root/150/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    1442∛18 ≈ 5.2415
    147≈ 5.2776
    149≈ 5.3015
    150≈ 5.3133
    1522∛19 ≈ 5.3368
    157≈ 5.3947
    158≈ 5.4061
    Recalculate with different values ↑

    FAQ

    What is the cube root of 150?

    ∛150 ≈ 5.3133

    Can ∛150 be simplified?

    No: no prime appears three times in 150, so its only cube factor is 1 and ∛150 is already in simplest form. Since 5³ = 125 < 150 < 216 = 6³, ∛150 lies between 5 and 6: ∛150 ≈ 5.3133.

    Is ∛150 a rational number?

    No: 150 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 ∛150 is irrational; its decimal never ends and never repeats: ∛150 ≈ 5.3133.

    See Also