Cube Root of 110
Cube Root Calculator
What is the cube root of 110?
Answer
∛110 ≈
4.7914
Real cube root: the only number whose cube is 110.
≈ — rounded to 4 decimal places. 110 is not the cube of a rational number, so ∛110 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 110 = 2 × 5 × 11
- Take out of the root
- No prime appears three times, so ∛110 is already in simplest form.
- Between cubes
- 4³ = 64 < 110 < 125 = 5³, so 4 < ∛110 < 5 and ∛110 ≈ 4.7914
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FAQ
What is the cube root of 110?
∛110 ≈ 4.7914
Can ∛110 be simplified?
No: no prime appears three times in 110, so its only cube factor is 1 and ∛110 is already in simplest form. Since 4³ = 64 < 110 < 125 = 5³, ∛110 lies between 4 and 5: ∛110 ≈ 4.7914.
Is ∛110 a rational number?
No: 110 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 ∛110 is irrational; its decimal never ends and never repeats: ∛110 ≈ 4.7914.
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