Cube Root of 137
Cube Root Calculator
What is the cube root of 137?
Answer
∛137 ≈
5.1551
Real cube root: the only number whose cube is 137.
≈ — rounded to 4 decimal places. 137 is not the cube of a rational number, so ∛137 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 137 is a prime number: no triple of equal factors.
- Between cubes
- 5³ = 125 < 137 < 216 = 6³, so 5 < ∛137 < 6 and ∛137 ≈ 5.1551
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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
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FAQ
What is the cube root of 137?
∛137 ≈ 5.1551
Can ∛137 be simplified?
No: no prime appears three times in 137, so its only cube factor is 1 and ∛137 is already in simplest form. Since 5³ = 125 < 137 < 216 = 6³, ∛137 lies between 5 and 6: ∛137 ≈ 5.1551.
Is ∛137 a rational number?
No: 137 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 ∛137 is irrational; its decimal never ends and never repeats: ∛137 ≈ 5.1551.
See Also
- Cube Root of 125/512 (∛(125/512)): Exact Value and Decimal
- Cube Root of 125/729 (∛(125/729)): Exact Value and Decimal
- Cube Root of 126 (∛126): Exact Value and Decimal
- Cube Root of 127 (∛127): Exact Value and Decimal
- Cube Root of 128 (∛128): Exact Value and Decimal
- Cube Root of 129 (∛129): Exact Value and Decimal
- Cube Root of 131 (∛131): Exact Value and Decimal
- Cube Root of 132 (∛132): Exact Value and Decimal
- Cube Root of 135 (∛135): Exact Value and Decimal
- Cube Root of 136 (∛136): Exact Value and Decimal
- Cube Root of 142 (∛142): Exact Value and Decimal
- Cube Root of 144 (∛144): Exact Value and Decimal
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