Question

How do I simplify (-3-i)/(4+8i)? i being the square root of -1.

Answer 1

Distribute, you get -12 - 24i - 4i -8i^2
= -12 -28i +8
= 20-28i

NOTE: i^2 = -1, so -8i^2 = +8

Answer 2

So I would change the division to multiplication...?

Answer 3

I think @easyaspi314 since the operation as multiplication while it is division.
Multiply top and bottom by bottom's conjugate.

Answer 4

seen*

Answer 5

presumably the question means "divide, write the answer in standard form" correct?

Answer 6

\[\frac{-3-i}{4+8i}\times \frac{4-8i}{4-8i}=\frac{(-3-i)(4-8i)}{4^2+8^2}\]

Answer 7

exactly