Feedback form
Hi! What do you think?

Drag it here or paste with Ctrl+V

    You can also email us on infocalculat.io

    Cube Root of 242

    Cube Root Calculator
    Cube root of

    What is the cube root of 242?

    Answer

    ∛242 ≈
    6.2317

    Real cube root: the only number whose cube is 242.

    ≈ — rounded to 4 decimal places. 242 is not the cube of a rational number, so ∛242 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    242 = 2 × 11 × 11 = 2 × 11²
    Take out of the root
    No prime appears three times, so ∛242 is already in simplest form.
    Between cubes
    6³ = 216 < 242 < 343 = 7³, so 6 < ∛242 < 7 and ∛242 ≈ 6.2317

    Related Calculations

    See Also

    Share This Calculation
    Print
    https://calculat.io/en/number/cube-root/242Copy
    <a href="https://calculat.io/en/number/cube-root/242">Cube Root of 242 (∛242): Exact Value and Decimal</a>Copy
    Facebook
    Twitter
    Telegram
    WhatsApp
    Viber
    Email
    Cube Root of 242 (∛242): Exact Value and Decimal. ∛242 ≈ 6.2317. 242 has no cube factor but 1, so ∛242 is already simplest; it lies between 6 and 7.
    https://calculat.io/en/number/cube-root/242/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    238≈ 6.1972
    239≈ 6.2058
    2402∛30 ≈ 6.2145
    242≈ 6.2317
    2433∛9 ≈ 6.2403
    245≈ 6.2573
    247≈ 6.2743
    Recalculate with different values ↑

    FAQ

    What is the cube root of 242?

    ∛242 ≈ 6.2317

    Can ∛242 be simplified?

    No: no prime appears three times in 242, so its only cube factor is 1 and ∛242 is already in simplest form. Since 6³ = 216 < 242 < 343 = 7³, ∛242 lies between 6 and 7: ∛242 ≈ 6.2317.

    Is ∛242 a rational number?

    No: 242 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 ∛242 is irrational; its decimal never ends and never repeats: ∛242 ≈ 6.2317.

    See Also