Cube Root of 107
Cube Root Calculator
What is the cube root of 107?
Answer
∛107 ≈
4.7475
Real cube root: the only number whose cube is 107.
≈ — rounded to 4 decimal places. 107 is not the cube of a rational number, so ∛107 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 107 is a prime number: no triple of equal factors.
- Between cubes
- 4³ = 64 < 107 < 125 = 5³, so 4 < ∛107 < 5 and ∛107 ≈ 4.7475
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- Square Root Calculator - Calculate the square root of any number
- Simplify Square Root Calculator - Write any square root in simplest radical form, step by step
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FAQ
What is the cube root of 107?
∛107 ≈ 4.7475
Can ∛107 be simplified?
No: no prime appears three times in 107, so its only cube factor is 1 and ∛107 is already in simplest form. Since 4³ = 64 < 107 < 125 = 5³, ∛107 lies between 4 and 5: ∛107 ≈ 4.7475.
Is ∛107 a rational number?
No: 107 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 ∛107 is irrational; its decimal never ends and never repeats: ∛107 ≈ 4.7475.
See Also
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