Cube Root of 4225
Cube Root Calculator
What is the cube root of 4,225?
Answer
∛4,225 ≈
16.1662
Real cube root: the only number whose cube is 4,225.
≈ — rounded to 4 decimal places. 4,225 is not the cube of a rational number, so ∛4,225 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 4,225 = 5 × 5 × 13 × 13 = 5² × 13²
- Take out of the root
- No prime appears three times, so ∛4,225 is already in simplest form.
- Between cubes
- 16³ = 4,096 < 4,225 < 4,913 = 17³, so 16 < ∛4,225 < 17 and ∛4,225 ≈ 16.1662
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See Also
- 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
- Prime Factorization - Prime Factorization Calculator
- Scientific Calculator with Memory & History - Free Engineering Calculator Online with Memory Function, Operation History, Logarithms & Trigonometry. Similar to ti-83, ti-84, ti-89
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FAQ
What is the cube root of 4,225?
∛4,225 ≈ 16.1662
Can ∛4,225 be simplified?
No: no prime appears three times in 4,225, so its only cube factor is 1 and ∛4,225 is already in simplest form. Since 16³ = 4,096 < 4,225 < 4,913 = 17³, ∛4,225 lies between 16 and 17: ∛4,225 ≈ 16.1662.
Is ∛4,225 a rational number?
No: 4,225 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 ∛4,225 is irrational; its decimal never ends and never repeats: ∛4,225 ≈ 16.1662.
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