Cube Root of 94

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Cube root of

What is the cube root of 94?

Answer

∛94 ≈
4.5468

Real cube root: the only number whose cube is 94.

≈ — rounded to 4 decimal places. 94 is not the cube of a rational number, so ∛94 is irrational: its decimal expansion never ends and never repeats.

Prime factors
94 = 2 × 47
Take out of the root
No prime appears three times, so ∛94 is already in simplest form.
Between cubes
4³ = 64 < 94 < 125 = 5³, so 4 < ∛94 < 5 and ∛94 ≈ 4.5468

See Also

FAQ

What is the cube root of 94?

∛94 ≈ 4.5468

Can ∛94 be simplified?

No: no prime appears three times in 94, so its only cube factor is 1 and ∛94 is already in simplest form. Since 4³ = 64 < 94 < 125 = 5³, ∛94 lies between 4 and 5: ∛94 ≈ 4.5468.

Is ∛94 a rational number?

No: 94 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 ∛94 is irrational; its decimal never ends and never repeats: ∛94 ≈ 4.5468.