Cube Root of 167
Cube Root Calculator
What is the cube root of 167?
Answer
∛167 ≈
5.5069
Real cube root: the only number whose cube is 167.
≈ — rounded to 4 decimal places. 167 is not the cube of a rational number, so ∛167 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 167 is a prime number: no triple of equal factors.
- Between cubes
- 5³ = 125 < 167 < 216 = 6³, so 5 < ∛167 < 6 and ∛167 ≈ 5.5069
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 167?
∛167 ≈ 5.5069
Can ∛167 be simplified?
No: no prime appears three times in 167, so its only cube factor is 1 and ∛167 is already in simplest form. Since 5³ = 125 < 167 < 216 = 6³, ∛167 lies between 5 and 6: ∛167 ≈ 5.5069.
Is ∛167 a rational number?
No: 167 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 ∛167 is irrational; its decimal never ends and never repeats: ∛167 ≈ 5.5069.
See Also
- Cube Root of 137 (∛137): Exact Value and Decimal
- Cube Root of 142 (∛142): Exact Value and Decimal
- Cube Root of 144 (∛144): Exact Value and Decimal
- Cube Root of 147 (∛147): Exact Value and Decimal
- Cube Root of 149 (∛149): Exact Value and Decimal
- Cube Root of 150 (∛150): Exact Value and Decimal
- Cube Root of 152 (∛152): Exact Value and Decimal
- Cube Root of 157 (∛157): Exact Value and Decimal
- Cube Root of 158 (∛158): Exact Value and Decimal
- Cube Root of 162 (∛162): Exact Value and Decimal
- Cube Root of 169 (∛169): Exact Value and Decimal
- Cube Root of 172 (∛172): Exact Value and Decimal
- Cube Root of 173 (∛173): Exact Value and Decimal
- Cube Root of 175 (∛175): Exact Value and Decimal
- Cube Root of 178 (∛178): Exact Value and Decimal
- Cube Root of 180 (∛180): Exact Value and Decimal
- Cube Root of 182 (∛182): Exact Value and Decimal
- Cube Root of 187 (∛187): Exact Value and Decimal
- Cube Root of 189 (∛189): Exact Value and Decimal
- Cube Root of 192 (∛192): Exact Value and Decimal
- Кубический корень из 167 (∛167): точное значение
- Raíz cúbica de 167 (∛167): valor exacto y decimal
- Raiz cúbica de 167 (∛167): valor exato e decimal