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    Cube Root of 95

    Cube Root Calculator
    Cube root of

    What is the cube root of 95?

    Answer

    ∛95 ≈
    4.5629

    Real cube root: the only number whose cube is 95.

    ≈ — rounded to 4 decimal places. 95 is not the cube of a rational number, so ∛95 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    95 = 5 × 19
    Take out of the root
    No prime appears three times, so ∛95 is already in simplest form.
    Between cubes
    4³ = 64 < 95 < 125 = 5³, so 4 < ∛95 < 5 and ∛95 ≈ 4.5629

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    https://calculat.io/en/number/cube-root/95Copy
    <a href="https://calculat.io/en/number/cube-root/95">Cube Root of 95 (∛95): Exact Value and Decimal - Calculatio</a>Copy
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    Cube Root of 95 (∛95): Exact Value and Decimal. ∛95 ≈ 4.5629. 95 has no cube factor but 1, so ∛95 is already simplest; it lies between 4 and 5.
    https://calculat.io/en/number/cube-root/95/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    92≈ 4.5144
    93≈ 4.5307
    94≈ 4.5468
    95≈ 4.5629
    962∛12 ≈ 4.5789
    97≈ 4.5947
    98≈ 4.6104
    Recalculate with different values ↑

    FAQ

    What is the cube root of 95?

    ∛95 ≈ 4.5629

    Can ∛95 be simplified?

    No: no prime appears three times in 95, so its only cube factor is 1 and ∛95 is already in simplest form. Since 4³ = 64 < 95 < 125 = 5³, ∛95 lies between 4 and 5: ∛95 ≈ 4.5629.

    Is ∛95 a rational number?

    No: 95 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 ∛95 is irrational; its decimal never ends and never repeats: ∛95 ≈ 4.5629.

    See Also