Question

Find the multiplicative inverse of 6 + 2i.

Answer 1

The solution to the problem is as follows:

First thing to do is get rid of the i. Multiplying by 6 - 2i will do this

( 6 + 2i)(6 - 2i) = 6^2 - (2i)^2 = 36 - 4(-1) = 36 + 4 = 40

Dividing by 40 gets you 1

(6 + 2i) (6-2i)/40 = 1

The answer is (6 - 2i)/40 = (3 - i)/20

I hope my answer has come to your help. God bless and have a nice day ahead!

Answer 2

SOS

Answer:

`(3)/(20)-(1)/(20)i`

Explanation:

Find the multiplicative inverse of a complex number using the process described below:

The inverse is found by reciprocating the original complex number. The reciprocal of the complex number (6+2i) is
`(1)/(6+2i)`. Multiply the numerator and denominator of the reciprocal by conjugate of the denominator and simplify:

`(1)/(6+2i)*(6-2i)/(6-2i)`

You get:
`(3)/(20)-(1)/(20)i`

Hope this helps!!