Question

Explain what complex numbers are. Can you divide two complex numbers? Give an example please

Answer 1

Given:

Complex numbers

Step-by-step explanation:

Complex numbers are the numbers that are expressed in the form of,

`a+ib`

Where, a, and b are real numbers and " i " is an imaginary number.

The value of i is,

`i=√(-1)`

Yes, we can divide the two complex numbers.

If the complex numbers in the division form

`(a+ib)/(c+id)`

Then multiply and divide by its conjugate to evaluate the division.

Here, the conjugate of the denominator is,

`c-id`

Then, we get

`(a+\imaginaryI b)/(c+\imaginaryI d)*(c-\imaginaryI d)/(c-\imaginaryI d)=\frac{(a+\mathrm{i}b)(c-\mathrm{i}d)}{c^2+d^2}`