Question

Simplify the given expression:

Answer 1

i7/1+9i

Answer 2

thats not an answer choice

Answer 3

What are the choices?

Answer 4

7+7i/2
63+7i/82
-7+7i/2
-63+7i/82

Answer 5

\[
\sqrt{-49} = \sqrt{49 \dot\ -1} = \sqrt{49} \sqrt{-1} = 7i
\\(3 + 4i) - (2 - 5i) = (3 - 2) + (4i + 5i) = 1 + 9i
\]

Answer 6

I have to agree with @maym0Re97

Answer 7

Lol that's what I got, but it's not an answer choice

Answer 8

i got that answer as well, but it isnt a choice

Answer 9

There's probably an equivalent choice

Answer 10

Multiply top and bottom by 1 - 9i and see what happens

Answer 11

would it be 63+7i/82?

Answer 12

your job is to rewrite in standard form as \(a+bi\) which means do what @hero said

Answer 13

\[\frac{7i}{1+9i}\times \frac{1-9i}{1-9i}\] the denominator is \(1^2+9^2=82\) all the work is in the numerator

Answer 14

yes you have it

Answer 15

thank you(: