complex numbers rectangular form

**Jonny-123** · August 12th 2009, 04:20 PM

how do i express the following in rectangular form?

-3+5i+(7+4i)/(1+2i)

thankyou,

**skeeter** · August 12th 2009, 04:38 PM

Originally Posted by Jonny-123

how do i express the following in rectangular form?

-3+5i+(7+4i)/(1+2i)

thankyou,

$-3+5i + \frac{7+4i}{1+2i} \cdot \frac{1-2i}{1-2i}$

multiply the ratios and simplify.

**Plato** · August 12th 2009, 04:47 PM

Originally Posted by Jonny-123

how do i express the following in rectangular form?
-3+5i+(7+4i)/(1+2i)

Which is it $- 3 + 5i + \frac{{7 + 4i}}{{1 + 2i}}\text{ or }\frac{{( - 3 + 5i)(7 + 4i)}}{{1 + 2i}}$ ?

In any case
$\frac{1}{z} = \frac{{\overline z }}{{\left| z \right|^2 }}$

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