Cube Root of 93
Cube Root Calculator
What is the cube root of 93?
Answer
∛93 ≈
4.5307
Real cube root: the only number whose cube is 93.
≈ — rounded to 4 decimal places. 93 is not the cube of a rational number, so ∛93 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 93 = 3 × 31
- Take out of the root
- No prime appears three times, so ∛93 is already in simplest form.
- Between cubes
- 4³ = 64 < 93 < 125 = 5³, so 4 < ∛93 < 5 and ∛93 ≈ 4.5307
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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
- 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
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FAQ
What is the cube root of 93?
∛93 ≈ 4.5307
Can ∛93 be simplified?
No: no prime appears three times in 93, so its only cube factor is 1 and ∛93 is already in simplest form. Since 4³ = 64 < 93 < 125 = 5³, ∛93 lies between 4 and 5: ∛93 ≈ 4.5307.
Is ∛93 a rational number?
No: 93 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 ∛93 is irrational; its decimal never ends and never repeats: ∛93 ≈ 4.5307.
See Also
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