Cube Root of 45
Cube Root Calculator
What is the cube root of 45?
Answer
∛45 ≈
3.5569
Real cube root: the only number whose cube is 45.
≈ — rounded to 4 decimal places. 45 is not the cube of a rational number, so ∛45 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 45 = 3 × 3 × 5 = 3² × 5
- Take out of the root
- No prime appears three times, so ∛45 is already in simplest form.
- Between cubes
- 3³ = 27 < 45 < 64 = 4³, so 3 < ∛45 < 4 and ∛45 ≈ 3.5569
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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 45?
∛45 ≈ 3.5569
Can ∛45 be simplified?
No: no prime appears three times in 45, so its only cube factor is 1 and ∛45 is already in simplest form. Since 3³ = 27 < 45 < 64 = 4³, ∛45 lies between 3 and 4: ∛45 ≈ 3.5569.
Is ∛45 a rational number?
No: 45 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 ∛45 is irrational; its decimal never ends and never repeats: ∛45 ≈ 3.5569.
See Also
- 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
- 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 46 (∛46): Exact Value and Decimal
- Cube Root of 47 (∛47): Exact Value and Decimal
- Cube Root of 48 (∛48): Exact Value and Decimal
- Cube Root of 49 (∛49): Exact Value and Decimal
- Cube Root of 50 (∛50): Exact Value and Decimal
- Cube Root of 51 (∛51): Exact Value and Decimal
- Cube Root of 52 (∛52): Exact Value and Decimal
- Cube Root of 53 (∛53): Exact Value and Decimal
- Cube Root of 54 (∛54): Exact Value and Decimal
- Cube Root of 55 (∛55): Exact Value and Decimal
- Кубический корень из 45 (∛45): точное значение
- Raíz cúbica de 45 (∛45): valor exacto y decimal
- Raiz cúbica de 45 (∛45): valor exato e decimal