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    Cube Root of 490

    Cube Root Calculator
    Cube root of

    What is the cube root of 490?

    Answer

    ∛490 ≈
    7.8837

    Real cube root: the only number whose cube is 490.

    ≈ — rounded to 4 decimal places. 490 is not the cube of a rational number, so ∛490 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    490 = 2 × 5 × 7 × 7 = 2 × 5 × 7²
    Take out of the root
    No prime appears three times, so ∛490 is already in simplest form.
    Between cubes
    7³ = 343 < 490 < 512 = 8³, so 7 < ∛490 < 8 and ∛490 ≈ 7.8837

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    https://calculat.io/en/number/cube-root/490Copy
    <a href="https://calculat.io/en/number/cube-root/490">Cube Root of 490 (∛490): Exact Value and Decimal</a>Copy
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    Cube Root of 490 (∛490): Exact Value and Decimal. ∛490 ≈ 7.8837. 490 has no cube factor but 1, so ∛490 is already simplest; it lies between 7 and 8.
    https://calculat.io/en/number/cube-root/490/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    474.5527.8
    4802∛60 ≈ 7.8297
    4882∛61 ≈ 7.873
    490≈ 7.8837
    5005∛4 ≈ 7.937
    5128
    527≈ 8.0774
    Recalculate with different values ↑

    FAQ

    What is the cube root of 490?

    ∛490 ≈ 7.8837

    Can ∛490 be simplified?

    No: no prime appears three times in 490, so its only cube factor is 1 and ∛490 is already in simplest form. Since 7³ = 343 < 490 < 512 = 8³, ∛490 lies between 7 and 8: ∛490 ≈ 7.8837.

    Is ∛490 a rational number?

    No: 490 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 ∛490 is irrational; its decimal never ends and never repeats: ∛490 ≈ 7.8837.

    See Also