Cube Root of 56
Cube Root Calculator
What is the cube root of 56?
Answer
∛56 =
2∛7 ≈ 3.8259
Real cube root: the only number whose cube is 56.
≈ — rounded to 4 decimal places. 56 is not the cube of a rational number, so ∛56 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 56 = (2 × 2 × 2) × 7 = 2³ × 7
- Take out of the root
- ∛56 = ∛(2³ × 7) = 2∛7
- Between cubes
- 3³ = 27 < 56 < 64 = 4³, so 3 < ∛56 < 4 and ∛56 ≈ 3.8259
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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 56?
∛56 = 2∛7 ≈ 3.8259
How to simplify ∛56?
Factor 56 into primes: 56 = 2 × 2 × 2 × 7. Each triple of equal factors is a cube and comes out of the root as one factor; the rest stays under it: ∛56 = ∛(2³ × 7) = 2∛7.
Is ∛56 a rational number?
No: 56 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 ∛56 is irrational; its decimal never ends and never repeats: ∛56 ≈ 3.8259.
See Also
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- 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
- Cube Root of 57 (∛57): Exact Value and Decimal
- Cube Root of 58 (∛58): Exact Value and Decimal
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