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 336

    Cube Root Calculator
    Cube root of

    What is the cube root of 336?

    Answer

    ∛336 =
    2∛42 ≈ 6.9521

    Real cube root: the only number whose cube is 336.

    ≈ — rounded to 4 decimal places. 336 is not the cube of a rational number, so ∛336 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    336 = (2 × 2 × 2) × 2 × 3 × 7 = 2⁴ × 3 × 7
    Take out of the root
    ∛336 = ∛(2³ × 42) = 2∛42
    Between cubes
    6³ = 216 < 336 < 343 = 7³, so 6 < ∛336 < 7 and ∛336 ≈ 6.9521

    Related Calculations

    See Also

    Share This Calculation
    Print
    https://calculat.io/en/number/cube-root/336Copy
    <a href="https://calculat.io/en/number/cube-root/336">Cube Root of 336 (∛336): Exact Value and Decimal</a>Copy
    Facebook
    Twitter
    Telegram
    WhatsApp
    Viber
    Email
    Cube Root of 336 (∛336): Exact Value and Decimal. ∛336 = 2∛42 ≈ 6.9521. 336 = 2³ × 42, so 2 comes out of the root. Prime factors in threes and a check.
    https://calculat.io/en/number/cube-root/336/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    329≈ 6.9034
    330≈ 6.9104
    331≈ 6.9174
    3362∛42 ≈ 6.9521
    3437
    3755∛3 ≈ 7.2112
    425≈ 7.5185
    Recalculate with different values ↑

    FAQ

    What is the cube root of 336?

    ∛336 = 2∛42 ≈ 6.9521

    How to simplify ∛336?

    Factor 336 into primes: 336 = 2 × 2 × 2 × 2 × 3 × 7. Each triple of equal factors is a cube and comes out of the root as one factor; the rest stays under it: ∛336 = ∛(2³ × 42) = 2∛42.

    Is ∛336 a rational number?

    No: 336 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 ∛336 is irrational; its decimal never ends and never repeats: ∛336 ≈ 6.9521.

    See Also