Cube Root of 9/2
Cube Root Calculator
What is the cube root of 9/2?
Answer
∛(9/2) =
∛36/2 ≈ 1.651
Real cube root: the only number whose cube is 9/2.
≈ — rounded to 4 decimal places. 9/2 is not the cube of a rational number, so ∛(9/2) is irrational: its decimal expansion never ends and never repeats.
9/2 = 4.5.
- Root of a fraction
- ∛(9/2) = ∛9/∛2
- Multiply by ∛(2²) = ∛4
- ∛9/∛2 = ∛36/∛8 = ∛36/2 ≈ 1.651
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
Cube roots of nearby values
FAQ
What is the cube root of 9/2?
∛(9/2) = ∛36/2 ≈ 1.651
Why is ∛(9/2) = ∛36/2?
∛(9/2) = ∛9/∛2. Multiplying the numerator and the denominator by ∛(2²) = ∛4 makes the denominator a perfect cube: ∛36/∛8 = ∛36/2. The value does not change; only the root leaves the denominator.
Is ∛(9/2) a rational number?
No: 9/2 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 ∛(9/2) is irrational; its decimal never ends and never repeats: ∛(9/2) ≈ 1.651.
See Also
- Cube Root of 5.832 (∛5.832): Exact Value and Decimal
- Cube Root of 6 (∛6): Exact Value and Decimal
- Cube Root of 6.859 (∛6.859): Exact Value and Decimal
- Cube Root of 7 (∛7): Exact Value and Decimal
- Cube Root of 8 (∛8): Exact Value and Decimal
- Cube Root of 8/27 (∛(8/27)): Exact Value and Decimal
- Cube Root of 8/125 (∛(8/125)): Exact Value and Decimal
- Cube Root of 8/343 (∛(8/343)): Exact Value and Decimal
- Cube Root of 8/729 (∛(8/729)): Exact Value and Decimal
- Cube Root of 9 (∛9): Exact Value and Decimal
- Cube Root of 9.261 (∛9.261): Exact Value and Decimal
- 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
- Кубический корень из 9/2 (∛(9/2)): точное значение
- Raíz cúbica de 9/2 (∛(9/2)): valor exacto y decimal
- Raiz cúbica de 9/2 (∛(9/2)): valor exato e decimal