Question

Write the expression in standard form.
5 / 3 - 15i

Answer 1

\[\frac{ 5 }{ 3-15i }\]

Answer 2

Multiply both numerator and denominator by the conjugate of (3-15i), which is (3 + 15i)

Answer 3

Okay hold on I'm doing the work

Answer 4

15 + 75i over 9 - 225i

Answer 5

are you sure of the denominator? did you miss something?

Answer 6

Oh 225i^2

Answer 7

great
and since i2 = -1
denominator will then be equal to?

Answer 8

234

Answer 9

perfect. Good job

Answer 10

But that isn't an answer choice

Answer 11

(15 + 75i)/234 ?

Answer 12

Nope

Answer 13

What standard form are they asking?

Answer 14

Answer Choices:
5/78 - 25/78 i

5/78 + 25/78 i

-5/78 + 25/78 i

-5/78 - 25/78 i

Answer 15

okay here's how we do it. We write them as separate fraction
15/234 + 75i/234
that can now be simplified as?

Answer 16

did you get it?

Answer 17

the correct answer is the second choice