SOLUTION: 1 divided by 2+3i could you please explain step by step please help soon!

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: 1 divided by 2+3i could you please explain step by step please help soon!      Log On


   

Question 162612: 1 divided by 2+3i
could you please explain step by step
please help soon!
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify:
1%2F%282%2B3i%29 Multiply the numerator and denominator by the complex conjugate of (2%2B3i) which is (2-3i)
%282-3i%29%2F%282%2B3i%29%282-3i%29 Perform the indicated multiplication in the denominator.
%282-3i%29%2F%284-6i%2B6i-9%2Ai%5E2%29 Simplify the denominator, noting that i%5E2+=+-1
%282-3i%29%2F%284-%289%29%28-1%29%29+=+%282-3i%29%2F%284%2B9%29
highlight%28%282-3i%29%2F13%29