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    Cube Root of 73

    Cube Root Calculator
    Cube root of

    What is the cube root of 73?

    Answer

    ∛73 ≈
    4.1793

    Real cube root: the only number whose cube is 73.

    ≈ — rounded to 4 decimal places. 73 is not the cube of a rational number, so ∛73 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    73 is a prime number: no triple of equal factors.
    Between cubes
    4³ = 64 < 73 < 125 = 5³, so 4 < ∛73 < 5 and ∛73 ≈ 4.1793

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    https://calculat.io/en/number/cube-root/73Copy
    <a href="https://calculat.io/en/number/cube-root/73">Cube Root of 73 (∛73): Exact Value and Decimal - Calculatio</a>Copy
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    Cube Root of 73 (∛73): Exact Value and Decimal. ∛73 ≈ 4.1793. 73 has no cube factor but 1, so ∛73 is already simplest; it lies between 4 and 5.
    https://calculat.io/en/number/cube-root/73/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    70≈ 4.1213
    71≈ 4.1408
    722∛9 ≈ 4.1602
    73≈ 4.1793
    74≈ 4.1983
    75≈ 4.2172
    76≈ 4.2358
    Recalculate with different values ↑

    FAQ

    What is the cube root of 73?

    ∛73 ≈ 4.1793

    Can ∛73 be simplified?

    No: no prime appears three times in 73, so its only cube factor is 1 and ∛73 is already in simplest form. Since 4³ = 64 < 73 < 125 = 5³, ∛73 lies between 4 and 5: ∛73 ≈ 4.1793.

    Is ∛73 a rational number?

    No: 73 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 ∛73 is irrational; its decimal never ends and never repeats: ∛73 ≈ 4.1793.

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