Plotting complex numbers?

Question

anonymous · Answer

Ive got , 
$$-5\sqrt{3} - $$

anonymous · Answer

Plot them on an argand diagram, where the Y axis is in terms of i

anonymous · Answer

I meant $$-5 \sqrt{3} -5i$$ 

How do I plot the sqrt 3?

anonymous · Answer

One sec, I got to look something up

anonymous · Answer

so, -5(root)3 would be your x coordinate then -5i would be your y

anonymous · Answer

I guess you just have to work out roughly where -5(root)3 would be on your x axis

anonymous · Answer

it's going to be at about -8.5

anonymous · Answer

Alright, & -5i means its gonna be on the y axis right?

anonymous · Answer

Yeah, -5i is on the y axis, however, the Y acis on an argand diagram is actually in terms of i

zehanz · Answer

You can use the fact that there is a 30-60-90 triangle involved. This means you can find the point exactly. Sound a bit complicated, so I'll try to make a drawing...
(just hold on a sec!)

anonymous · Answer

30-60-90 triangle? O_O

zehanz · Answer

Here is what I mean: (It is drawn as point D)

zehanz · Answer

The circle has a radius 10.

anonymous · Answer

Ah Ok, I get it.!

zehanz · Answer

You can recognise it by the combination of numbers, e.g. 2+2√3 i, or 5√3-5i...

anonymous · Answer

Got it

zehanz · Answer

Nice!

zehanz · Answer

(Don't mean to be rude, but this image could also help - even if you already understand ;) )

anonymous · Answer

How would I plot 2 + i ? 
Would it make the 2 on the y axis also?

zehanz · Answer

2 to the right, 1 up: a+bi corresponds to point (a, b)...

anonymous · Answer

Alrighty, thank you.!