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    Cube Root of 152

    Cube Root Calculator
    Cube root of

    What is the cube root of 152?

    Answer

    ∛152 =
    2∛19 ≈ 5.3368

    Real cube root: the only number whose cube is 152.

    ≈ — rounded to 4 decimal places. 152 is not the cube of a rational number, so ∛152 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    152 = (2 × 2 × 2) × 19 = 2³ × 19
    Take out of the root
    ∛152 = ∛(2³ × 19) = 2∛19
    Between cubes
    5³ = 125 < 152 < 216 = 6³, so 5 < ∛152 < 6 and ∛152 ≈ 5.3368

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    https://calculat.io/en/number/cube-root/152Copy
    <a href="https://calculat.io/en/number/cube-root/152">Cube Root of 152 (∛152): Exact Value and Decimal</a>Copy
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    Cube Root of 152 (∛152): Exact Value and Decimal. ∛152 = 2∛19 ≈ 5.3368. 152 = 2³ × 19, so 2 comes out of the root. Prime factors in threes and a check.
    https://calculat.io/en/number/cube-root/152/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    147≈ 5.2776
    149≈ 5.3015
    150≈ 5.3133
    1522∛19 ≈ 5.3368
    157≈ 5.3947
    158≈ 5.4061
    1623∛6 ≈ 5.4514
    Recalculate with different values ↑

    FAQ

    What is the cube root of 152?

    ∛152 = 2∛19 ≈ 5.3368

    How to simplify ∛152?

    Factor 152 into primes: 152 = 2 × 2 × 2 × 19. Each triple of equal factors is a cube and comes out of the root as one factor; the rest stays under it: ∛152 = ∛(2³ × 19) = 2∛19.

    Is ∛152 a rational number?

    No: 152 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 ∛152 is irrational; its decimal never ends and never repeats: ∛152 ≈ 5.3368.

    See Also