Cube Root of 239

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Cube root of

What is the cube root of 239?

Answer

∛239 ≈
6.2058

Real cube root: the only number whose cube is 239.

≈ — rounded to 4 decimal places. 239 is not the cube of a rational number, so ∛239 is irrational: its decimal expansion never ends and never repeats.

Prime factors
239 is a prime number: no triple of equal factors.
Between cubes
6³ = 216 < 239 < 343 = 7³, so 6 < ∛239 < 7 and ∛239 ≈ 6.2058

See Also

FAQ

What is the cube root of 239?

∛239 ≈ 6.2058

Can ∛239 be simplified?

No: no prime appears three times in 239, so its only cube factor is 1 and ∛239 is already in simplest form. Since 6³ = 216 < 239 < 343 = 7³, ∛239 lies between 6 and 7: ∛239 ≈ 6.2058.

Is ∛239 a rational number?

No: 239 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 ∛239 is irrational; its decimal never ends and never repeats: ∛239 ≈ 6.2058.