SOLUTION: Have I done this correctly? 2i/3-8i mult. top and bottom by 3+8i now 6+16i/9-64i^2 for 6/-55 , 16/-55i

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson  -> Lesson -> SOLUTION: Have I done this correctly? 2i/3-8i mult. top and bottom by 3+8i now 6+16i/9-64i^2 for 6/-55 , 16/-55i       Log On


   

Question 385233: Have I done this correctly?
2i/3-8i
mult. top and bottom by 3+8i
now 6+16i/9-64i^2
for 6/-55 , 16/-55i

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Have I done this correctly?
2i/3-8i
mult. top and bottom by 3+8i
--------------
[2i(3+8i)]/[(3-8i)(3+8i)]
----
= [6i+16(-1)]/[9-(64(-1))]
---
= [-16+6i]/73
================
Cheers,
Stan H.