Question

Can someone show me way \[\sqrt{(1-6i)^{2}+4(7+9i)} = 3+4i\]

Answer 1

why*

Answer 2

you could maybe square both sides? does it work?

Answer 3

Well, I don't have the answer 3+4i from the beginning so that wouldn't work

Answer 4

@mukushla could you please check this out?

Answer 5

simplify under radical first

Answer 6

\[\sqrt{(-35-12i)+(28+36i)}\]

Answer 7

?

Answer 8

yes right and..simplify further

Answer 9

\[\sqrt{-7+24i}\]

Answer 10

now see this ... very complete article about taking square root of a complex number

Answer 11

Ok, thanks :)

Answer 12

no problem

Answer 13

That pdf was really great, can't thank you enough! :D