Cube Root of 90
Cube Root Calculator
What is the cube root of 90?
Answer
∛90 ≈
4.4814
Real cube root: the only number whose cube is 90.
≈ — rounded to 4 decimal places. 90 is not the cube of a rational number, so ∛90 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 90 = 2 × 3 × 3 × 5 = 2 × 3² × 5
- Take out of the root
- No prime appears three times, so ∛90 is already in simplest form.
- Between cubes
- 4³ = 64 < 90 < 125 = 5³, so 4 < ∛90 < 5 and ∛90 ≈ 4.4814
Related Calculations
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 90?
∛90 ≈ 4.4814
Can ∛90 be simplified?
No: no prime appears three times in 90, so its only cube factor is 1 and ∛90 is already in simplest form. Since 4³ = 64 < 90 < 125 = 5³, ∛90 lies between 4 and 5: ∛90 ≈ 4.4814.
Is ∛90 a rational number?
No: 90 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 ∛90 is irrational; its decimal never ends and never repeats: ∛90 ≈ 4.4814.
See Also
- Cube Root of 80 (∛80): Exact Value and Decimal
- Cube Root of 81 (∛81): Exact Value and Decimal
- Cube Root of 82 (∛82): Exact Value and Decimal
- Cube Root of 83 (∛83): Exact Value and Decimal
- Cube Root of 84 (∛84): Exact Value and Decimal
- Cube Root of 85 (∛85): Exact Value and Decimal
- Cube Root of 86 (∛86): Exact Value and Decimal
- Cube Root of 87 (∛87): Exact Value and Decimal
- Cube Root of 88 (∛88): Exact Value and Decimal
- Cube Root of 89 (∛89): Exact Value and Decimal
- Cube Root of 91 (∛91): Exact Value and Decimal
- Cube Root of 91.125 (∛91.125): Exact Value and Decimal
- Cube Root of 92 (∛92): Exact Value and Decimal
- Cube Root of 93 (∛93): Exact Value and Decimal
- Cube Root of 94 (∛94): Exact Value and Decimal
- Cube Root of 95 (∛95): Exact Value and Decimal
- Cube Root of 96 (∛96): Exact Value and Decimal
- Cube Root of 97 (∛97): Exact Value and Decimal
- Cube Root of 98 (∛98): Exact Value and Decimal
- Cube Root of 99 (∛99): Exact Value and Decimal
- Кубический корень из 90 (∛90): точное значение
- Raíz cúbica de 90 (∛90): valor exacto y decimal
- Raiz cúbica de 90 (∛90): valor exato e decimal