Question

Remind me how to do this please?

simplify the expression:

Answer 1

treat the complex number as a variable. Distribute the negative sign and combine like terms. Also, note, \(\sqrt{-1} = \pm i\)

Answer 2

my work:

Answer 3

But I think what they did here is multiply by it's conjugate.

Answer 4

argh??

Answer 5

Simplify the denominator first?
turn it into a+bi form

Answer 6

ok so my i/(-3 - 7i) is right, i just have to multiply by the conjugate?

Answer 7

Here for your convenience
\[\Large\frac{\sqrt{-1}}{-3-7i}\]

Answer 8

Yeah, multiply by conjugates... don't want those nasty imaginaries in the denominator :)

Answer 9

and the conjugate would be -3 + 7i, right?

Answer 10

Yes it would ^.^

Answer 11

is the answer a??

Answer 12

Yes... yes it is ^.^

Answer 13

yey~ thank you so much :3