Cube Root of 59

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Cube root of

What is the cube root of 59?

Answer

∛59 ≈
3.893

Real cube root: the only number whose cube is 59.

≈ — rounded to 4 decimal places. 59 is not the cube of a rational number, so ∛59 is irrational: its decimal expansion never ends and never repeats.

Prime factors
59 is a prime number: no triple of equal factors.
Between cubes
3³ = 27 < 59 < 64 = 4³, so 3 < ∛59 < 4 and ∛59 ≈ 3.893

See Also

FAQ

What is the cube root of 59?

∛59 ≈ 3.893

Can ∛59 be simplified?

No: no prime appears three times in 59, so its only cube factor is 1 and ∛59 is already in simplest form. Since 3³ = 27 < 59 < 64 = 4³, ∛59 lies between 3 and 4: ∛59 ≈ 3.893.

Is ∛59 a rational number?

No: 59 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 ∛59 is irrational; its decimal never ends and never repeats: ∛59 ≈ 3.893.