Cube Root of 113
Cube Root Calculator
What is the cube root of 113?
Answer
∛113 ≈
4.8346
Real cube root: the only number whose cube is 113.
≈ — rounded to 4 decimal places. 113 is not the cube of a rational number, so ∛113 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 113 is a prime number: no triple of equal factors.
- Between cubes
- 4³ = 64 < 113 < 125 = 5³, so 4 < ∛113 < 5 and ∛113 ≈ 4.8346
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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 113?
∛113 ≈ 4.8346
Can ∛113 be simplified?
No: no prime appears three times in 113, so its only cube factor is 1 and ∛113 is already in simplest form. Since 4³ = 64 < 113 < 125 = 5³, ∛113 lies between 4 and 5: ∛113 ≈ 4.8346.
Is ∛113 a rational number?
No: 113 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 ∛113 is irrational; its decimal never ends and never repeats: ∛113 ≈ 4.8346.
See Also
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- Cube Root of 103 (∛103): Exact Value and Decimal
- Cube Root of 107 (∛107): Exact Value and Decimal
- Cube Root of 108 (∛108): Exact Value and Decimal
- Cube Root of 110 (∛110): Exact Value and Decimal
- Cube Root of 110.592 (∛110.592): Exact Value and Decimal
- Cube Root of 111 (∛111): Exact Value and Decimal
- Cube Root of 112 (∛112): Exact Value and Decimal
- Cube Root of 115 (∛115): Exact Value and Decimal
- Cube Root of 117 (∛117): Exact Value and Decimal
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- Cube Root of 124 (∛124): Exact Value and Decimal
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- Cube Root of 125/8 (∛(125/8)): Exact Value and Decimal
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