Every nonzero complex number has a multiplicative inverse. This makes the complex numbers a field that has the real numbers as a subfield. The complex numbers also form a real vector space of dimension two, with {1, i} as a standard basis.

Feb 21, 2019According to the fundamental theorem of algebra, the complex numbers are algebraically closed. This means that any polynomial with complex coefficients can be How is the Galois group for the reals over the rationals - QuoraComplex numbers are an essential component of one of the most Are there other 'imaginary' numbers such as or beyond sqrt - QuoraWhy does quantum mechanics use complex numbers rather - QuoraMore results from www.quora.com

According to the fundamental theorem of algebra, the complex numbers are algebraically closed. This means that any polynomial with complex coefficients can be Why does quantum mechanics use complex numbers rather Why do we use complex numbers in physics (e.g., quantum Why does Quantum Mechanics require complex numbers?Why are complex numbers not order fields?More results from www.quora.com

Algebraically speaking, a complex number is an element of the (algebraic) extension C of the field of real numbers R obtained by the adjunction to the field R of a root i of the polynomial X2+1. The field C obtained in this way is called the field of complex numbers or the complex number field.

In mathematics, a complex number is an element of a number system that extends the real numbers with a specific element denoted i, called the imaginary unit Complex planeAlgebraic equationMathematical sciencesGerolamo Cardano