Cube Root of 323
Cube Root Calculator
What is the cube root of 323?
Answer
∛323 ≈
6.8612
Real cube root: the only number whose cube is 323.
≈ — rounded to 4 decimal places. 323 is not the cube of a rational number, so ∛323 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 323 = 17 × 19
- Take out of the root
- No prime appears three times, so ∛323 is already in simplest form.
- Between cubes
- 6³ = 216 < 323 < 343 = 7³, so 6 < ∛323 < 7 and ∛323 ≈ 6.8612
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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 323?
∛323 ≈ 6.8612
Can ∛323 be simplified?
No: no prime appears three times in 323, so its only cube factor is 1 and ∛323 is already in simplest form. Since 6³ = 216 < 323 < 343 = 7³, ∛323 lies between 6 and 7: ∛323 ≈ 6.8612.
Is ∛323 a rational number?
No: 323 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 ∛323 is irrational; its decimal never ends and never repeats: ∛323 ≈ 6.8612.
See Also
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- Cube Root of 324 (∛324): Exact Value and Decimal
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