Cube Root of 46
Cube Root Calculator
What is the cube root of 46?
Answer
∛46 ≈
3.583
Real cube root: the only number whose cube is 46.
≈ — rounded to 4 decimal places. 46 is not the cube of a rational number, so ∛46 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 46 = 2 × 23
- Take out of the root
- No prime appears three times, so ∛46 is already in simplest form.
- Between cubes
- 3³ = 27 < 46 < 64 = 4³, so 3 < ∛46 < 4 and ∛46 ≈ 3.583
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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 46?
∛46 ≈ 3.583
Can ∛46 be simplified?
No: no prime appears three times in 46, so its only cube factor is 1 and ∛46 is already in simplest form. Since 3³ = 27 < 46 < 64 = 4³, ∛46 lies between 3 and 4: ∛46 ≈ 3.583.
Is ∛46 a rational number?
No: 46 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 ∛46 is irrational; its decimal never ends and never repeats: ∛46 ≈ 3.583.
See Also
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- Cube Root of 40 (∛40): Exact Value and Decimal
- Cube Root of 41 (∛41): Exact Value and Decimal
- Cube Root of 42 (∛42): Exact Value and Decimal
- Cube Root of 42.875 (∛42.875): Exact Value and Decimal
- Cube Root of 43 (∛43): Exact Value and Decimal
- Cube Root of 44 (∛44): Exact Value and Decimal
- Cube Root of 45 (∛45): Exact Value and Decimal
- Cube Root of 47 (∛47): Exact Value and Decimal
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