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 100

    Cube Root Calculator
    Cube root of

    What is the cube root of 100?

    Answer

    ∛100 ≈
    4.6416

    Real cube root: the only number whose cube is 100.

    ≈ — rounded to 4 decimal places. 100 is not the cube of a rational number, so ∛100 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    100 = 2 × 2 × 5 × 5 = 2² × 5²
    Take out of the root
    No prime appears three times, so ∛100 is already in simplest form.
    Between cubes
    4³ = 64 < 100 < 125 = 5³, so 4 < ∛100 < 5 and ∛100 ≈ 4.6416

    Related Calculations

    See Also

    Share This Calculation
    Print
    https://calculat.io/en/number/cube-root/100Copy
    <a href="https://calculat.io/en/number/cube-root/100">Cube Root of 100 (∛100): Exact Value and Decimal</a>Copy
    Facebook
    Twitter
    Telegram
    WhatsApp
    Viber
    Email
    Cube Root of 100 (∛100): Exact Value and Decimal. ∛100 ≈ 4.6416. 100 has no cube factor but 1, so ∛100 is already simplest; it lies between 4 and 5.
    https://calculat.io/en/number/cube-root/100/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    97≈ 4.5947
    98≈ 4.6104
    99≈ 4.6261
    100≈ 4.6416
    102≈ 4.6723
    103≈ 4.6875
    107≈ 4.7475
    Recalculate with different values ↑

    FAQ

    What is the cube root of 100?

    ∛100 ≈ 4.6416

    Can ∛100 be simplified?

    No: no prime appears three times in 100, so its only cube factor is 1 and ∛100 is already in simplest form. Since 4³ = 64 < 100 < 125 = 5³, ∛100 lies between 4 and 5: ∛100 ≈ 4.6416.

    Is ∛100 a rational number?

    No: 100 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 ∛100 is irrational; its decimal never ends and never repeats: ∛100 ≈ 4.6416.

    See Also