## anonymous 3 years ago Can someone show me way $\sqrt{(1-6i)^{2}+4(7+9i)} = 3+4i$

1. anonymous

why*

2. anonymous

you could maybe square both sides? does it work?

3. anonymous

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

4. anonymous

@mukushla could you please check this out?

5. anonymous

6. anonymous

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

7. anonymous

?

8. anonymous

yes right and..simplify further

9. anonymous

$\sqrt{-7+24i}$

10. anonymous

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

11. anonymous

Ok, thanks :)

12. anonymous

no problem

13. anonymous

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