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

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1. frx

why*

2. Rimplestorck

you could maybe square both sides? does it work?

3. frx

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

4. frx

@mukushla could you please check this out?

5. mukushla

simplify under radical first

6. frx

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

7. frx

?

8. mukushla

yes right and..simplify further

9. frx

$\sqrt{-7+24i}$

10. mukushla

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

11. frx

Ok, thanks :)

12. mukushla

no problem

13. frx

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