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    Cube Root of 147

    Cube Root Calculator
    Cube root of

    What is the cube root of 147?

    Answer

    ∛147 ≈
    5.2776

    Real cube root: the only number whose cube is 147.

    ≈ — rounded to 4 decimal places. 147 is not the cube of a rational number, so ∛147 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    147 = 3 × 7 × 7 = 3 × 7²
    Take out of the root
    No prime appears three times, so ∛147 is already in simplest form.
    Between cubes
    5³ = 125 < 147 < 216 = 6³, so 5 < ∛147 < 6 and ∛147 ≈ 5.2776

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    https://calculat.io/en/number/cube-root/147Copy
    <a href="https://calculat.io/en/number/cube-root/147">Cube Root of 147 (∛147): Exact Value and Decimal</a>Copy
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    Cube Root of 147 (∛147): Exact Value and Decimal. ∛147 ≈ 5.2776. 147 has no cube factor but 1, so ∛147 is already simplest; it lies between 5 and 6.
    https://calculat.io/en/number/cube-root/147/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    137≈ 5.1551
    142≈ 5.2171
    1442∛18 ≈ 5.2415
    147≈ 5.2776
    149≈ 5.3015
    150≈ 5.3133
    1522∛19 ≈ 5.3368
    Recalculate with different values ↑

    FAQ

    What is the cube root of 147?

    ∛147 ≈ 5.2776

    Can ∛147 be simplified?

    No: no prime appears three times in 147, so its only cube factor is 1 and ∛147 is already in simplest form. Since 5³ = 125 < 147 < 216 = 6³, ∛147 lies between 5 and 6: ∛147 ≈ 5.2776.

    Is ∛147 a rational number?

    No: 147 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 ∛147 is irrational; its decimal never ends and never repeats: ∛147 ≈ 5.2776.

    See Also