Cube Root of 86

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Cube root of

What is the cube root of 86?

Answer

∛86 ≈
4.414

Real cube root: the only number whose cube is 86.

≈ — rounded to 4 decimal places. 86 is not the cube of a rational number, so ∛86 is irrational: its decimal expansion never ends and never repeats.

Prime factors
86 = 2 × 43
Take out of the root
No prime appears three times, so ∛86 is already in simplest form.
Between cubes
4³ = 64 < 86 < 125 = 5³, so 4 < ∛86 < 5 and ∛86 ≈ 4.414

See Also

FAQ

What is the cube root of 86?

∛86 ≈ 4.414

Can ∛86 be simplified?

No: no prime appears three times in 86, so its only cube factor is 1 and ∛86 is already in simplest form. Since 4³ = 64 < 86 < 125 = 5³, ∛86 lies between 4 and 5: ∛86 ≈ 4.414.

Is ∛86 a rational number?

No: 86 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 ∛86 is irrational; its decimal never ends and never repeats: ∛86 ≈ 4.414.