Q(√2)/Q is algebraic extension
Answers
Answered by
0
Answer:
In abstract algebra, a field extension L/K is called algebraic if every element of L is algebraic over K, i.e. if every element of L is a root of some non-zero polynomial with coefficients in K. Field extensions that are not algebraic, i.e. which contain transcendental elements, are called transcendental.
For example, the field extension R/Q, that is the field of real numbers as an extension of the field of rational numbers, is transcendental, while the field extensions C/R and Q(√2)/Q are algebraic, where C is the field of complex numbers.
Hope this will help you.
Similar questions
Math,
6 months ago
Geography,
6 months ago
Hindi,
6 months ago
Social Sciences,
11 months ago
Math,
1 year ago