Cube Root of 20.25
Cube Root Calculator
What is the cube root of 20.25?
Answer
∛20.25 ≈
2.7257
Real cube root: the only number whose cube is 20.25.
≈ — rounded to 4 decimal places. 20.25 is not the cube of a rational number, so ∛20.25 is irrational: its decimal expansion never ends and never repeats.
- Between cubes
- 2³ = 8 < 20.25 < 27 = 3³, so 2 < ∛20.25 < 3 and ∛20.25 ≈ 2.7257
See Also
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Cube roots of nearby values
FAQ
What is the cube root of 20.25?
∛20.25 ≈ 2.7257
How to find ∛20.25 without a calculator?
Bracket it between cubes: 2³ = 8 < 20.25 < 27 = 3³, so ∛20.25 lies between 2 and 3. Narrowing the bracket digit by digit gives ∛20.25 ≈ 2.7257; 20.25 is not the cube of a decimal, so the root never ends.
Is ∛20.25 a rational number?
No: 20.25 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 ∛20.25 is irrational; its decimal never ends and never repeats: ∛20.25 ≈ 2.7257.
See Also
- 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 (∛20): 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
- Cube Root of 27/125 (∛(27/125)): Exact Value and Decimal
- Кубический корень из 20.25 (∛20.25): точное значение
- Raíz cúbica de 20.25 (∛20.25): valor exacto y decimal
- Raiz cúbica de 20.25 (∛20.25): valor exato e decimal