Question

Simplify the expression. 1+i
----
1-i

Answer 1

When you have a complex number at the denominator, you multiply both the numerator and denominator of the expression by its conjugate...

Answer 2

That said... what is the conjugate of 1-i ?

Answer 3

Realizing the denominator. XD

Answer 4

Tips? LOL
To get the conjugate of a complex number, a + bi, just change the sign that separates the real and imaginary parts...

So... for example...
conj ( 4 + 5i ) = 4 - 5i
conj ( 3 - 2i) = 3 + 2i
and so on

Answer 5

i still dont understand

Answer 6

Okay, a more direct example... suppose we were to simplify
\[\Large \frac{5}{3+4i}\]
The denominator is 3 + 4i
The conjugate of this denominator is 3 - 4i

So we multiply the entire expression by...
\[\Large \frac5{3+4i}\times \frac{3-4i}{3-4i}\]resulting into
\[\Large = \frac{5\cdot(3-4i)}{(3+4i)(3-4i)}= \frac{5(3-4i)}{3^2 - (4i)^2}=\frac{5(3-4i)}{3^2+4^2}\]
\[\Large = \frac{5(3-4i)}{25}=\frac15(3-4i)=\frac34-\frac45i\]

Answer 7

Time's not on my side @Indiadabest
I have to go now, I actually just wanted to peek into OS :)

If you're still having problems, I'm sure there are plenty of online users that can walk you through this :D
For now
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Terence out