Cube Root of 37
Cube Root Calculator
What is the cube root of 37?
Answer
∛37 ≈
3.3322
Real cube root: the only number whose cube is 37.
≈ — rounded to 4 decimal places. 37 is not the cube of a rational number, so ∛37 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 37 is a prime number: no triple of equal factors.
- Between cubes
- 3³ = 27 < 37 < 64 = 4³, so 3 < ∛37 < 4 and ∛37 ≈ 3.3322
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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 37?
∛37 ≈ 3.3322
Can ∛37 be simplified?
No: no prime appears three times in 37, so its only cube factor is 1 and ∛37 is already in simplest form. Since 3³ = 27 < 37 < 64 = 4³, ∛37 lies between 3 and 4: ∛37 ≈ 3.3322.
Is ∛37 a rational number?
No: 37 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 ∛37 is irrational; its decimal never ends and never repeats: ∛37 ≈ 3.3322.
See Also
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- Cube Root of 39 (∛39): Exact Value and Decimal
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