algebraic number (Meaning)
Wordnet
algebraic number (n)
root of an algebraic equation with rational coefficients
Synonyms & Antonyms of algebraic number
No Synonyms and anytonyms found
algebraic number Sentence Examples
- The square root of 2 is an example of an algebraic number, as it is a root of the algebraic equation x^2 - 2 = 0.
- Pi is a transcendental number and, as such, is not considered an algebraic number.
- The algebraic number field extension was essential in solving the polynomial equation with rational coefficients.
- The mathematician explored various methods for determining whether a given number was algebraic or transcendental.
- In field theory, researchers study algebraic numbers and their properties under different operations.
- The square root of a positive integer is always an algebraic number, as it satisfies a polynomial equation.
- Mathematicians often work with algebraic numbers when studying number theory and abstract algebra.
- The algebraic number theorem provides insights into the structure of algebraic numbers and their relationships.
- The algebraic closure of a field includes all the algebraic numbers that can be obtained from that field.
- Solving equations involving algebraic numbers can lead to the discovery of interesting mathematical patterns and relationships.
FAQs About the word algebraic number
root of an algebraic equation with rational coefficients
No synonyms found.
No antonyms found.
The square root of 2 is an example of an algebraic number, as it is a root of the algebraic equation x^2 - 2 = 0.
Pi is a transcendental number and, as such, is not considered an algebraic number.
The algebraic number field extension was essential in solving the polynomial equation with rational coefficients.
The mathematician explored various methods for determining whether a given number was algebraic or transcendental.
