Cube Root of 33
Cube Root Calculator
What is the cube root of 33?
Answer
∛33 ≈
3.2075
Real cube root: the only number whose cube is 33.
≈ — rounded to 4 decimal places. 33 is not the cube of a rational number, so ∛33 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 33 = 3 × 11
- Take out of the root
- No prime appears three times, so ∛33 is already in simplest form.
- Between cubes
- 3³ = 27 < 33 < 64 = 4³, so 3 < ∛33 < 4 and ∛33 ≈ 3.2075
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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 33?
∛33 ≈ 3.2075
Can ∛33 be simplified?
No: no prime appears three times in 33, so its only cube factor is 1 and ∛33 is already in simplest form. Since 3³ = 27 < 33 < 64 = 4³, ∛33 lies between 3 and 4: ∛33 ≈ 3.2075.
Is ∛33 a rational number?
No: 33 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 ∛33 is irrational; its decimal never ends and never repeats: ∛33 ≈ 3.2075.
See Also
- Cube Root of 27/343 (∛(27/343)): Exact Value and Decimal
- Cube Root of 27/512 (∛(27/512)): Exact Value and Decimal
- Cube Root of 27/1000 (∛(27/1000)): Exact Value and Decimal
- Cube Root of 28 (∛28): Exact Value and Decimal
- Cube Root of 29 (∛29): Exact Value and Decimal
- Cube Root of 29.5 (∛29.5): Exact Value and Decimal
- Cube Root of 30 (∛30): Exact Value and Decimal
- Cube Root of 31 (∛31): Exact Value and Decimal
- Cube Root of 32 (∛32): Exact Value and Decimal
- Cube Root of 32.768 (∛32.768): Exact Value and Decimal
- Cube Root of 34 (∛34): Exact Value and Decimal
- Cube Root of 35 (∛35): Exact Value and Decimal
- Cube Root of 36 (∛36): Exact Value and Decimal
- Cube Root of 37 (∛37): Exact Value and Decimal
- Cube Root of 38 (∛38): Exact Value and Decimal
- Cube Root of 39 (∛39): Exact Value and Decimal
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- Cube Root of 41 (∛41): Exact Value and Decimal
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- Кубический корень из 33 (∛33): точное значение
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