Cube Root of 20
Cube Root Calculator
What is the cube root of 20?
Answer
∛20 ≈
2.7144
Real cube root: the only number whose cube is 20.
≈ — rounded to 4 decimal places. 20 is not the cube of a rational number, so ∛20 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 20 = 2 × 2 × 5 = 2² × 5
- Take out of the root
- No prime appears three times, so ∛20 is already in simplest form.
- Between cubes
- 2³ = 8 < 20 < 27 = 3³, so 2 < ∛20 < 3 and ∛20 ≈ 2.7144
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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 20?
∛20 ≈ 2.7144
Can ∛20 be simplified?
No: no prime appears three times in 20, so its only cube factor is 1 and ∛20 is already in simplest form. Since 2³ = 8 < 20 < 27 = 3³, ∛20 lies between 2 and 3: ∛20 ≈ 2.7144.
Is ∛20 a rational number?
No: 20 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 ∛20 is irrational; its decimal never ends and never repeats: ∛20 ≈ 2.7144.
See Also
- Cube Root of 12.167 (∛12.167): Exact Value and Decimal
- Cube Root of 13 (∛13): Exact Value and Decimal
- Cube Root of 14 (∛14): Exact Value and Decimal
- Cube Root of 15 (∛15): Exact Value and Decimal
- Cube Root of 15.625 (∛15.625): Exact Value and Decimal
- Cube Root of 16 (∛16): Exact Value and Decimal
- Cube Root of 17 (∛17): Exact Value and Decimal
- Cube Root of 17.5 (∛17.5): Exact Value and Decimal
- Cube Root of 18 (∛18): Exact Value and Decimal
- Cube Root of 19 (∛19): Exact Value and Decimal
- Cube Root of 20.25 (∛20.25): Exact Value and Decimal
- Cube Root of 21 (∛21): Exact Value and Decimal
- Cube Root of 22 (∛22): Exact Value and Decimal
- Cube Root of 23 (∛23): Exact Value and Decimal
- Cube Root of 24 (∛24): Exact Value and Decimal
- Cube Root of 25 (∛25): Exact Value and Decimal
- Cube Root of 26 (∛26): Exact Value and Decimal
- Cube Root of 27 (∛27): Exact Value and Decimal
- Cube Root of 27/8 (∛(27/8)): Exact Value and Decimal
- Cube Root of 27/64 (∛(27/64)): Exact Value and Decimal
- Кубический корень из 20 (∛20): точное значение
- Raíz cúbica de 20 (∛20): valor exacto y decimal
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