Cube Root of 331

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What is the cube root of 331?

Answer

∛331 ≈
6.9174

Real cube root: the only number whose cube is 331.

≈ — rounded to 4 decimal places. 331 is not the cube of a rational number, so ∛331 is irrational: its decimal expansion never ends and never repeats.

Prime factors
331 is a prime number: no triple of equal factors.
Between cubes
6³ = 216 < 331 < 343 = 7³, so 6 < ∛331 < 7 and ∛331 ≈ 6.9174

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FAQ

What is the cube root of 331?

∛331 ≈ 6.9174

Can ∛331 be simplified?

No: no prime appears three times in 331, so its only cube factor is 1 and ∛331 is already in simplest form. Since 6³ = 216 < 331 < 343 = 7³, ∛331 lies between 6 and 7: ∛331 ≈ 6.9174.

Is ∛331 a rational number?

No: 331 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 ∛331 is irrational; its decimal never ends and never repeats: ∛331 ≈ 6.9174.