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    Cube Root of 7290

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    Cube root of

    What is the cube root of 7,290?

    Answer

    ∛7,290 =
    9∛10 ≈ 19.3899

    Real cube root: the only number whose cube is 7,290.

    ≈ — rounded to 4 decimal places. 7,290 is not the cube of a rational number, so ∛7,290 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    7,290 = 2 × (3 × 3 × 3) × (3 × 3 × 3) × 5 = 2 × 3⁶ × 5
    Take out of the root
    ∛7,290 = ∛((3³)² × 10) = 3² × ∛10 = 9∛10
    Between cubes
    19³ = 6,859 < 7,290 < 8,000 = 20³, so 19 < ∛7,290 < 20 and ∛7,290 ≈ 19.3899

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    https://calculat.io/en/number/cube-root/7290Copy
    <a href="https://calculat.io/en/number/cube-root/7290">Cube Root of 7290 (∛7290): Exact Value and Decimal</a>Copy
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    Cube Root of 7290 (∛7290): Exact Value and Decimal. ∛7,290 = 9∛10 ≈ 19.3899. 7,290 = 9³ × 10, so 9 comes out of the root. Prime factors in threes and a check.
    https://calculat.io/en/number/cube-root/7290/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    5,48814∛2 ≈ 17.6389
    5,83218
    6,85919
    7,2909∛10 ≈ 19.3899
    7,7766∛36 ≈ 19.8116
    8,00020
    8,78813∛4 ≈ 20.6362
    Recalculate with different values ↑

    FAQ

    What is the cube root of 7,290?

    ∛7,290 = 9∛10 ≈ 19.3899

    How to simplify ∛7,290?

    Factor 7,290 into primes: 7,290 = 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5. Each triple of equal factors is a cube and comes out of the root as one factor; the rest stays under it: ∛7,290 = ∛((3³)² × 10) = 9∛10.

    Is ∛7,290 a rational number?

    No: 7,290 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 ∛7,290 is irrational; its decimal never ends and never repeats: ∛7,290 ≈ 19.3899.

    See Also