Cube Root of 9
Cube Root Calculator
What is the cube root of 9?
Answer
∛9 ≈
2.0801
Real cube root: the only number whose cube is 9.
≈ — rounded to 4 decimal places. 9 is not the cube of a rational number, so ∛9 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 9 = 3 × 3 = 3²
- Take out of the root
- No prime appears three times, so ∛9 is already in simplest form.
- Between cubes
- 2³ = 8 < 9 < 27 = 3³, so 2 < ∛9 < 3 and ∛9 ≈ 2.0801
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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
FAQ
What is the cube root of 9?
∛9 ≈ 2.0801
Can ∛9 be simplified?
No: no prime appears three times in 9, so its only cube factor is 1 and ∛9 is already in simplest form. Since 2³ = 8 < 9 < 27 = 3³, ∛9 lies between 2 and 3: ∛9 ≈ 2.0801.
Is ∛9 a rational number?
No: 9 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 ∛9 is irrational; its decimal never ends and never repeats: ∛9 ≈ 2.0801.
See Also
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