write in answer form a+bi

Question

simplify write answer in form a+bi, where a and b are real numbers

Answer 1

An answer in the form of a + bi is known as a complex number where a and b are real numbers and i is an imaginary number equivalent to the square root of negative 1 (-1). Although the general form of a complex number is a + bi it can appear as a + bi or a - bi. There are 4 imaginary numbers that you should learn and memorize,  these numbers are as follows:

 

i = square root of -1

i^2 = -1

i^3 = -i

i^4 = 1

all powers of i after this are just repeats of the first 4 powers of i.

 

An example of a number in a + bi form would be 3 + 2i which would have been derived from a complex number 3 + √(-4). Hope this is helpful.