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    Cube Root of 245

    Cube Root Calculator
    Cube root of

    What is the cube root of 245?

    Answer

    ∛245 ≈
    6.2573

    Real cube root: the only number whose cube is 245.

    ≈ — rounded to 4 decimal places. 245 is not the cube of a rational number, so ∛245 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    245 = 5 × 7 × 7 = 5 × 7²
    Take out of the root
    No prime appears three times, so ∛245 is already in simplest form.
    Between cubes
    6³ = 216 < 245 < 343 = 7³, so 6 < ∛245 < 7 and ∛245 ≈ 6.2573

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    https://calculat.io/en/number/cube-root/245Copy
    <a href="https://calculat.io/en/number/cube-root/245">Cube Root of 245 (∛245): Exact Value and Decimal</a>Copy
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    Cube Root of 245 (∛245): Exact Value and Decimal. ∛245 ≈ 6.2573. 245 has no cube factor but 1, so ∛245 is already simplest; it lies between 6 and 7.
    https://calculat.io/en/number/cube-root/245/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    2402∛30 ≈ 6.2145
    242≈ 6.2317
    2433∛9 ≈ 6.2403
    245≈ 6.2573
    247≈ 6.2743
    2482∛31 ≈ 6.2828
    2505∛2 ≈ 6.2996
    Recalculate with different values ↑

    FAQ

    What is the cube root of 245?

    ∛245 ≈ 6.2573

    Can ∛245 be simplified?

    No: no prime appears three times in 245, so its only cube factor is 1 and ∛245 is already in simplest form. Since 6³ = 216 < 245 < 343 = 7³, ∛245 lies between 6 and 7: ∛245 ≈ 6.2573.

    Is ∛245 a rational number?

    No: 245 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 ∛245 is irrational; its decimal never ends and never repeats: ∛245 ≈ 6.2573.

    See Also