Cube Root of 142
Cube Root Calculator
What is the cube root of 142?
Answer
∛142 ≈
5.2171
Real cube root: the only number whose cube is 142.
≈ — rounded to 4 decimal places. 142 is not the cube of a rational number, so ∛142 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 142 = 2 × 71
- Take out of the root
- No prime appears three times, so ∛142 is already in simplest form.
- Between cubes
- 5³ = 125 < 142 < 216 = 6³, so 5 < ∛142 < 6 and ∛142 ≈ 5.2171
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FAQ
What is the cube root of 142?
∛142 ≈ 5.2171
Can ∛142 be simplified?
No: no prime appears three times in 142, so its only cube factor is 1 and ∛142 is already in simplest form. Since 5³ = 125 < 142 < 216 = 6³, ∛142 lies between 5 and 6: ∛142 ≈ 5.2171.
Is ∛142 a rational number?
No: 142 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 ∛142 is irrational; its decimal never ends and never repeats: ∛142 ≈ 5.2171.
See Also
- Cube Root of 125/729 (∛(125/729)): Exact Value and Decimal
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- Cube Root of 127 (∛127): Exact Value and Decimal
- Cube Root of 128 (∛128): Exact Value and Decimal
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- Cube Root of 131 (∛131): Exact Value and Decimal
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