Cube Root of 178

Cube Root Calculator
Cube root of

What is the cube root of 178?

Answer

∛178 ≈
5.6252

Real cube root: the only number whose cube is 178.

≈ — rounded to 4 decimal places. 178 is not the cube of a rational number, so ∛178 is irrational: its decimal expansion never ends and never repeats.

Prime factors
178 = 2 × 89
Take out of the root
No prime appears three times, so ∛178 is already in simplest form.
Between cubes
5³ = 125 < 178 < 216 = 6³, so 5 < ∛178 < 6 and ∛178 ≈ 5.6252

Related Calculations

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
172≈ 5.5613
173≈ 5.5721
175≈ 5.5934
178≈ 5.6252
180≈ 5.6462
182≈ 5.6671
187≈ 5.7185

FAQ

What is the cube root of 178?

∛178 ≈ 5.6252

Can ∛178 be simplified?

No: no prime appears three times in 178, so its only cube factor is 1 and ∛178 is already in simplest form. Since 5³ = 125 < 178 < 216 = 6³, ∛178 lies between 5 and 6: ∛178 ≈ 5.6252.

Is ∛178 a rational number?

No: 178 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 ∛178 is irrational; its decimal never ends and never repeats: ∛178 ≈ 5.6252.

See Also