Cube Root of 54
Cube Root Calculator
What is the cube root of 54?
Answer
∛54 =
3∛2 ≈ 3.7798
Real cube root: the only number whose cube is 54.
≈ — rounded to 4 decimal places. 54 is not the cube of a rational number, so ∛54 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 54 = 2 × (3 × 3 × 3) = 2 × 3³
- Take out of the root
- ∛54 = ∛(3³ × 2) = 3∛2
- Between cubes
- 3³ = 27 < 54 < 64 = 4³, so 3 < ∛54 < 4 and ∛54 ≈ 3.7798
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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 54?
∛54 = 3∛2 ≈ 3.7798
How to simplify ∛54?
Factor 54 into primes: 54 = 2 × 3 × 3 × 3. Each triple of equal factors is a cube and comes out of the root as one factor; the rest stays under it: ∛54 = ∛(3³ × 2) = 3∛2.
Is ∛54 a rational number?
No: 54 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 ∛54 is irrational; its decimal never ends and never repeats: ∛54 ≈ 3.7798.
See Also
- Cube Root of 44 (∛44): Exact Value and Decimal
- Cube Root of 45 (∛45): 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 55 (∛55): Exact Value and Decimal
- Cube Root of 56 (∛56): Exact Value and Decimal
- Cube Root of 57 (∛57): Exact Value and Decimal
- Cube Root of 58 (∛58): Exact Value and Decimal
- Cube Root of 59 (∛59): Exact Value and Decimal
- Cube Root of 60 (∛60): Exact Value and Decimal
- Cube Root of 61 (∛61): Exact Value and Decimal
- Cube Root of 62 (∛62): Exact Value and Decimal
- Cube Root of 63 (∛63): Exact Value and Decimal
- Cube Root of 64 (∛64): Exact Value and Decimal
- Кубический корень из 54 (∛54): точное значение
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