Cube Root of 17.5
Cube Root Calculator
What is the cube root of 17.5?
Answer
∛17.5 ≈
2.5962
Real cube root: the only number whose cube is 17.5.
≈ — rounded to 4 decimal places. 17.5 is not the cube of a rational number, so ∛17.5 is irrational: its decimal expansion never ends and never repeats.
- Between cubes
- 2³ = 8 < 17.5 < 27 = 3³, so 2 < ∛17.5 < 3 and ∛17.5 ≈ 2.5962
See Also
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- 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 17.5?
∛17.5 ≈ 2.5962
How to find ∛17.5 without a calculator?
Bracket it between cubes: 2³ = 8 < 17.5 < 27 = 3³, so ∛17.5 lies between 2 and 3. Narrowing the bracket digit by digit gives ∛17.5 ≈ 2.5962; 17.5 is not the cube of a decimal, so the root never ends.
Is ∛17.5 a rational number?
No: 17.5 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 ∛17.5 is irrational; its decimal never ends and never repeats: ∛17.5 ≈ 2.5962.
See Also
- Cube Root of 10 (∛10): Exact Value and Decimal
- Cube Root of 11 (∛11): Exact Value and Decimal
- Cube Root of 12 (∛12): Exact Value and Decimal
- 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 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 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
- Кубический корень из 17.5 (∛17.5): точное значение
- Raíz cúbica de 17.5 (∛17.5): valor exacto y decimal
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