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 75

    Cube Root Calculator
    Cube root of

    What is the cube root of 75?

    Answer

    ∛75 ≈
    4.2172

    Real cube root: the only number whose cube is 75.

    ≈ — rounded to 4 decimal places. 75 is not the cube of a rational number, so ∛75 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    75 = 3 × 5 × 5 = 3 × 5²
    Take out of the root
    No prime appears three times, so ∛75 is already in simplest form.
    Between cubes
    4³ = 64 < 75 < 125 = 5³, so 4 < ∛75 < 5 and ∛75 ≈ 4.2172

    Related Calculations

    See Also

    Share This Calculation
    Print
    https://calculat.io/en/number/cube-root/75Copy
    <a href="https://calculat.io/en/number/cube-root/75">Cube Root of 75 (∛75): Exact Value and Decimal - Calculatio</a>Copy
    Facebook
    Twitter
    Telegram
    WhatsApp
    Viber
    Email
    Cube Root of 75 (∛75): Exact Value and Decimal. ∛75 ≈ 4.2172. 75 has no cube factor but 1, so ∛75 is already simplest; it lies between 4 and 5.
    https://calculat.io/en/number/cube-root/75/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    722∛9 ≈ 4.1602
    73≈ 4.1793
    74≈ 4.1983
    75≈ 4.2172
    76≈ 4.2358
    77≈ 4.2543
    78≈ 4.2727
    Recalculate with different values ↑

    FAQ

    What is the cube root of 75?

    ∛75 ≈ 4.2172

    Can ∛75 be simplified?

    No: no prime appears three times in 75, so its only cube factor is 1 and ∛75 is already in simplest form. Since 4³ = 64 < 75 < 125 = 5³, ∛75 lies between 4 and 5: ∛75 ≈ 4.2172.

    Is ∛75 a rational number?

    No: 75 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 ∛75 is irrational; its decimal never ends and never repeats: ∛75 ≈ 4.2172.

    See Also