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.
![\mathbb{C}/\mathbb{R}](/Images/godic/202412/18/52ee5993b0c5b0242032ed568c9481b01543.png")
、![\mathbb{Q}(\sqrt{2})/\mathbb{Q}](/Images/godic/202412/18/7f991fb8fb9e95707243f543fc92a93b1544.png")
。