Question

find the magnitude of this complex number:

Answer 1

I understand that if we have
\[|a+bi| \text{ then this equal to } \sqrt{a^2+b^2}\]
I wonder if I should consider all those variables complex...
\[\sqrt{\frac{(p+qi)(c+bi)(d+ei)}{(s+ti)+(p+qi)(c+bi)(u+vi)} } \text{ and then I guess somehow we write this in } \\ a+bi \text{ form then find the magintude } \]
do you have any ideas?

Answer 2

that is the problem, I tried to find form of a+ib, but no way.

Answer 3

Can you tell me anything else besides:
\[|a+bi|=\sqrt{a^2+b^2} \text{ that you think might be useful ? } \]

Answer 4

maybe we can work with this form for complex numbers...

\[\sqrt{\frac{r_1e^{i \theta_1} \cdot r_2e ^{i \theta_2} \cdot r_3 e^{ i \theta_3}}{r_4 e^{i \theta_4}+r_1 e^{i \theta_1} \cdot r_2 \cdot e^{i \theta_2} \cdot r_5 e^{i \theta_5}}} \\ \sqrt{\frac{r_1 r_2r_3 e^{i[\theta_1+\theta_2+\theta_3]}}{r_4+r_1 r_2 r_5 e^{i [ \theta_1+\theta_2+\theta_5]}}}\]

Answer 5

i suppose everything is real except \(j\)

Answer 6

I have no clue about what is real and what isn't here :(

Answer 7

so I just assumed they were all complex

Answer 8

\(j\) is imaginary unit for engineers
\(i\) is imaginary unit for mathematicians

i could be wrong in assuming only \(j\) as imaginary her ehmm

Answer 9

hmmm...never heard of that
but that might make things easier

Answer 10

\[\sqrt{\frac{w \mu i}{\sigma+w \epsilon i}}\]
so for math people it would be

Answer 11

yeah i would start by multiplying \(j\) top and bottom inside sqrt

Answer 12

* \(i\) since you have replaced j by i :)

Answer 13

I got something that looks like this:
\[\sqrt{\frac{A+Bi}{C^2+D^2}}\]

but I'm not really sure where to go after this

Answer 14

and A,B,C, D are in terms of variables given by the OP
I didn't want to reveal everything
lol