Question

I am reading a textbook and it says the distance from x=0 to x=1+2i is \( \sqrt{5}\). I am assuming they used the distance formula which is \(\sqrt{(1+2i)^2}\) but I am still unsure how they ended up with \( \sqrt{5}\)

Answer 1

x = 0 is the same as x = 0+0i

Answer 2

0+0i on the complex plane is the point (0,0)

1+2i on the complex plane is the point (1,2)

Answer 3

so you are basically finding the distance from (0,0) to (1,2)

Answer 4

Ohhhhhhhh

Answer 5

Thanks never really learned abt the complex system in hs and they expect you to know it college -_-

Answer 6

Thanks :)

Answer 7

yeah one of the pitfalls of transitioning from hs to college

Answer 8

but I'm sure you'll figure things out, yw

Answer 9

Thankfully nearly over with my degree. Last math course :)

Answer 10

that's good, but you should never be completely done with math since you'll use it throughout life

Answer 11

Ya but I am happy to be over with abstract math cuz that is a pain in the butt. Calculus, diff equations and that stuff is fun

Answer 12

ah i gotcha, i agree, the abstract stuff is hard to wrap your head around

Answer 13

Ya nearly flunked real analysis :)

Answer 14

have yet to take that, but I'm sure it's going to be real fun...not lol