Cube Root of 55

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Cube root of

What is the cube root of 55?

Answer

∛55 ≈
3.803

Real cube root: the only number whose cube is 55.

≈ — rounded to 4 decimal places. 55 is not the cube of a rational number, so ∛55 is irrational: its decimal expansion never ends and never repeats.

Prime factors
55 = 5 × 11
Take out of the root
No prime appears three times, so ∛55 is already in simplest form.
Between cubes
3³ = 27 < 55 < 64 = 4³, so 3 < ∛55 < 4 and ∛55 ≈ 3.803

See Also

FAQ

What is the cube root of 55?

∛55 ≈ 3.803

Can ∛55 be simplified?

No: no prime appears three times in 55, so its only cube factor is 1 and ∛55 is already in simplest form. Since 3³ = 27 < 55 < 64 = 4³, ∛55 lies between 3 and 4: ∛55 ≈ 3.803.

Is ∛55 a rational number?

No: 55 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 ∛55 is irrational; its decimal never ends and never repeats: ∛55 ≈ 3.803.