There are plural numbers in the textbook of senior high school mathematics elective course 2-2. The complex number X is defined as a binary ordered real number pair (a, b), denoted as z=a+bi, where a and b are real numbers and I is an imaginary unit. In the complex number a+bi, a=Re(z) is called the real part, and b=Im(z) is called the imaginary part. When the imaginary part is equal to zero, this complex number can be regarded as a real number; When the imaginary part of z is not equal to zero and the real part is equal to zero, z is often called pure imaginary number. Complex number field is an algebraic closure of real number field, that is, any polynomial with complex coefficients always has roots in complex number field. Complex number was first put forward by Cardan, a scholar in Milan, Italy, in the16th century. Through the work of D'Alembert, De Moivre, Euler and Gauss, this concept was gradually accepted by mathematicians.