 #1
 19
 7
Homework Statement:

12i+3i^2 / 1+2i3i^2 =
a) 3/5  1/5i
b) 3/5 + 1/5i
c) 3/5  1/5i
d) 3/5 + 1/5i
Relevant Equations:
 i= i ,i^2= 1
i can get to 3i+1/13i but no further. I take it this is the correct way to start
That's a complex number, not a homework problem statement (and you omitted the brackets )! What does the composer of the exercise want from you ?Homework Statement: 12i+3i^2 / 1+2i3i^2
That looks wrong in any case.Homework Statement: 12i+3i^2 / 1+2i3i^2 =
3i+1/13i but no further. I take it this is the correct way to start
And we still don't know what the question isin the question
This is considered sloppy notation. It's better (some would say essential) to use brackets:Homework Statement: 12i+3i^2 / 1+2i3i^2 =
##i^2= 1##
Just to go back to the first point. Is ##1/5i = \frac{1}{5i}## or is ##1/5i = \frac{i}{5}##Homework Statement: 12i+3i^2 / 1+2i3i^2 =
a) 3/5  1/5i
b) 3/5 + 1/5i
c) 3/5  1/5i
d) 3/5 + 1/5i
Can you post a photo of that question?what i wrote is exactly what was written on the test paper, there is no more information :(
THINK! You KNOW this.@PeroK thankyou, i understand
@ BvU this is the first thing i tried, leading to...
(12i3) / (1+2i+3) therefore (2i2) / (2i+4) how to proceed?
The important 'hint' was given, i^2=1.(12i+3i^2) /( 1+2i3i^2 )
Your choices are in the form ##x+iy##, so you have to get rid of the complex denominator.(12i3) / (1+2i+3) therefore (2i2) / (2i+4) how to proceed?
This thread is unnecessarily long, principally due poor mathematical notation as well as problems with the problem statement in general.got it, rationalise denominator, i wasn't used to applying it to complex numbers