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    Cube Root of 98

    Cube Root Calculator
    Cube root of

    What is the cube root of 98?

    Answer

    ∛98 ≈
    4.6104

    Real cube root: the only number whose cube is 98.

    ≈ — rounded to 4 decimal places. 98 is not the cube of a rational number, so ∛98 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    98 = 2 × 7 × 7 = 2 × 7²
    Take out of the root
    No prime appears three times, so ∛98 is already in simplest form.
    Between cubes
    4³ = 64 < 98 < 125 = 5³, so 4 < ∛98 < 5 and ∛98 ≈ 4.6104

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    https://calculat.io/en/number/cube-root/98Copy
    <a href="https://calculat.io/en/number/cube-root/98">Cube Root of 98 (∛98): Exact Value and Decimal - Calculatio</a>Copy
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    Cube Root of 98 (∛98): Exact Value and Decimal. ∛98 ≈ 4.6104. 98 has no cube factor but 1, so ∛98 is already simplest; it lies between 4 and 5.
    https://calculat.io/en/number/cube-root/98/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    95≈ 4.5629
    962∛12 ≈ 4.5789
    97≈ 4.5947
    98≈ 4.6104
    99≈ 4.6261
    100≈ 4.6416
    102≈ 4.6723
    Recalculate with different values ↑

    FAQ

    What is the cube root of 98?

    ∛98 ≈ 4.6104

    Can ∛98 be simplified?

    No: no prime appears three times in 98, so its only cube factor is 1 and ∛98 is already in simplest form. Since 4³ = 64 < 98 < 125 = 5³, ∛98 lies between 4 and 5: ∛98 ≈ 4.6104.

    Is ∛98 a rational number?

    No: 98 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 ∛98 is irrational; its decimal never ends and never repeats: ∛98 ≈ 4.6104.

    See Also