Given:
Complex numbers
Explanation:
Complex numbers are the numbers that are expressed in the form of,
[tex]a+ib[/tex]Where, a, and b are real numbers and " i " is an imaginary number.
The value of i is,
[tex]i=\sqrt{-1}[/tex]Yes, we can divide the two complex numbers.
If the complex numbers in the division form
[tex]\frac{a+ib}{c+id}[/tex]Then multiply and divide by its conjugate to evaluate the division.
Here, the conjugate of the denominator is,
[tex]c-id[/tex]Then, we get
[tex]\frac{a+\imaginaryI b}{c+\imaginaryI d}\times\frac{c-\imaginaryI d}{c-\imaginaryI d}=\frac{(a+\mathrm{i}b)(c-\mathrm{i}d)}{c^2+d^2}[/tex]