Cube Root of 173
Cube Root Calculator
What is the cube root of 173?
Answer
∛173 ≈
5.5721
Real cube root: the only number whose cube is 173.
≈ — rounded to 4 decimal places. 173 is not the cube of a rational number, so ∛173 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 173 is a prime number: no triple of equal factors.
- Between cubes
- 5³ = 125 < 173 < 216 = 6³, so 5 < ∛173 < 6 and ∛173 ≈ 5.5721
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- Square Root Calculator - Calculate the square root of any number
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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 173?
∛173 ≈ 5.5721
Can ∛173 be simplified?
No: no prime appears three times in 173, so its only cube factor is 1 and ∛173 is already in simplest form. Since 5³ = 125 < 173 < 216 = 6³, ∛173 lies between 5 and 6: ∛173 ≈ 5.5721.
Is ∛173 a rational number?
No: 173 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 ∛173 is irrational; its decimal never ends and never repeats: ∛173 ≈ 5.5721.
See Also
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