If you've ever flown then you used complex numbers. The basic equation w=z+1/z is used to design air foils (airplane wings). While you don't actually concern yourself with these equations anymore than the thermodynamic equations that govern the running of your car's engine.
Check out the related link for some interesting application of imaginary and complex numbers, though.
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Yes. And since Real numbers are a subset of complex numbers, a complex number can also be a pure real.Another AnswerYes, for example: (0 + j5) is a complex number, whose 'real' number is zero.
Graphically, the conjugate of a complex number is its reflection on the real axis.
One is a complex number and a real number.
When a complex number is multiplied by its conjugate, the product is a real number and the imaginary number disappears.
Yes, all real numbers are complex numbers.