What are the real and imaginary parts of the complex number 6 + 2i?

The complex number you mentioned, 6 + 2i, consists of two distinct components: the real part and the imaginary part.

The real part of any complex number is the component that does not contain the imaginary unit i. In the case of 6 + 2i, the real part is simply 6.

On the other hand, the imaginary part is the coefficient of i in the complex number. Here, the imaginary part is 2, since it is the coefficient that accompanies i.

To summarize:

  • Real Part: 6
  • Imaginary Part: 2

It’s important to note that the imaginary part refers solely to the multiplier of i, while the real part stands on its own without any imaginary influence. Understanding these two parts is fundamental when working with complex numbers in mathematics and various applications in fields like engineering and physics.

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