Cube Root of 157
Cube Root Calculator
What is the cube root of 157?
Answer
∛157 ≈
5.3947
Real cube root: the only number whose cube is 157.
≈ — rounded to 4 decimal places. 157 is not the cube of a rational number, so ∛157 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 157 is a prime number: no triple of equal factors.
- Between cubes
- 5³ = 125 < 157 < 216 = 6³, so 5 < ∛157 < 6 and ∛157 ≈ 5.3947
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- 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
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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 157?
∛157 ≈ 5.3947
Can ∛157 be simplified?
No: no prime appears three times in 157, so its only cube factor is 1 and ∛157 is already in simplest form. Since 5³ = 125 < 157 < 216 = 6³, ∛157 lies between 5 and 6: ∛157 ≈ 5.3947.
Is ∛157 a rational number?
No: 157 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 ∛157 is irrational; its decimal never ends and never repeats: ∛157 ≈ 5.3947.
See Also
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