Cube Root of 27225
Cube Root Calculator
What is the cube root of 27,225?
Answer
∛27,225 ≈
30.0831
Real cube root: the only number whose cube is 27,225.
≈ — rounded to 4 decimal places. 27,225 is not the cube of a rational number, so ∛27,225 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 27,225 = 3 × 3 × 5 × 5 × 11 × 11 = 3² × 5² × 11²
- Take out of the root
- No prime appears three times, so ∛27,225 is already in simplest form.
- Between cubes
- 30³ = 27,000 < 27,225 < 29,791 = 31³, so 30 < ∛27,225 < 31 and ∛27,225 ≈ 30.0831
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 27,225?
∛27,225 ≈ 30.0831
Can ∛27,225 be simplified?
No: no prime appears three times in 27,225, so its only cube factor is 1 and ∛27,225 is already in simplest form. Since 30³ = 27,000 < 27,225 < 29,791 = 31³, ∛27,225 lies between 30 and 31: ∛27,225 ≈ 30.0831.
Is ∛27,225 a rational number?
No: 27,225 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 ∛27,225 is irrational; its decimal never ends and never repeats: ∛27,225 ≈ 30.0831.
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