Cube Root of 95

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Cube root of

What is the cube root of 95?

Answer

∛95 ≈
4.5629

Real cube root: the only number whose cube is 95.

≈ — rounded to 4 decimal places. 95 is not the cube of a rational number, so ∛95 is irrational: its decimal expansion never ends and never repeats.

Prime factors
95 = 5 × 19
Take out of the root
No prime appears three times, so ∛95 is already in simplest form.
Between cubes
4³ = 64 < 95 < 125 = 5³, so 4 < ∛95 < 5 and ∛95 ≈ 4.5629

See Also

FAQ

What is the cube root of 95?

∛95 ≈ 4.5629

Can ∛95 be simplified?

No: no prime appears three times in 95, so its only cube factor is 1 and ∛95 is already in simplest form. Since 4³ = 64 < 95 < 125 = 5³, ∛95 lies between 4 and 5: ∛95 ≈ 4.5629.

Is ∛95 a rational number?

No: 95 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 ∛95 is irrational; its decimal never ends and never repeats: ∛95 ≈ 4.5629.