Cube Root of 91

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Cube root of

What is the cube root of 91?

Answer

∛91 ≈
4.4979

Real cube root: the only number whose cube is 91.

≈ — rounded to 4 decimal places. 91 is not the cube of a rational number, so ∛91 is irrational: its decimal expansion never ends and never repeats.

Prime factors
91 = 7 × 13
Take out of the root
No prime appears three times, so ∛91 is already in simplest form.
Between cubes
4³ = 64 < 91 < 125 = 5³, so 4 < ∛91 < 5 and ∛91 ≈ 4.4979

See Also

FAQ

What is the cube root of 91?

∛91 ≈ 4.4979

Can ∛91 be simplified?

No: no prime appears three times in 91, so its only cube factor is 1 and ∛91 is already in simplest form. Since 4³ = 64 < 91 < 125 = 5³, ∛91 lies between 4 and 5: ∛91 ≈ 4.4979.

Is ∛91 a rational number?

No: 91 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 ∛91 is irrational; its decimal never ends and never repeats: ∛91 ≈ 4.4979.