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    Cube Root of 80

    Cube Root Calculator
    Cube root of

    What is the cube root of 80?

    Answer

    ∛80 =
    2∛10 ≈ 4.3089

    Real cube root: the only number whose cube is 80.

    ≈ — rounded to 4 decimal places. 80 is not the cube of a rational number, so ∛80 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    80 = (2 × 2 × 2) × 2 × 5 = 2⁴ × 5
    Take out of the root
    ∛80 = ∛(2³ × 10) = 2∛10
    Between cubes
    4³ = 64 < 80 < 125 = 5³, so 4 < ∛80 < 5 and ∛80 ≈ 4.3089

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    https://calculat.io/en/number/cube-root/80Copy
    <a href="https://calculat.io/en/number/cube-root/80">Cube Root of 80 (∛80): Exact Value and Decimal - Calculatio</a>Copy
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    Cube Root of 80 (∛80): Exact Value and Decimal. ∛80 = 2∛10 ≈ 4.3089. 80 = 2³ × 10, so 2 comes out of the root. Prime factors in threes and a check.
    https://calculat.io/en/number/cube-root/80/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    77≈ 4.2543
    78≈ 4.2727
    79≈ 4.2908
    802∛10 ≈ 4.3089
    813∛3 ≈ 4.3267
    82≈ 4.3445
    83≈ 4.3621
    Recalculate with different values ↑

    FAQ

    What is the cube root of 80?

    ∛80 = 2∛10 ≈ 4.3089

    How to simplify ∛80?

    Factor 80 into primes: 80 = 2 × 2 × 2 × 2 × 5. Each triple of equal factors is a cube and comes out of the root as one factor; the rest stays under it: ∛80 = ∛(2³ × 10) = 2∛10.

    Is ∛80 a rational number?

    No: 80 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 ∛80 is irrational; its decimal never ends and never repeats: ∛80 ≈ 4.3089.

    See Also