## anonymous one year ago Simplify the expression sqrt -9/ (3-2i)+(1+5i)

1. Nnesha

first combine like terms

2. Nnesha

$\huge\rm \frac{ \sqrt{-9} }{ 3-2i+1+5i }$

3. anonymous

12-9i/25 12-9i/7 9+12i/25 9+12i/7

4. anonymous

and yes

5. anonymous

square root of 9 over 4 plus 3i?

6. anonymous

-9*

7. Nnesha

alright and you separate -9 $\sqrt{-1} \times \sqrt{9}$ and i =what ?

8. Nnesha

yep right

9. anonymous

i = imaginary number? or -1

10. Nnesha

i imaginary

11. Nnesha

general question

12. anonymous

ok

13. Nnesha

$\bf i = \sqrt{-1}$ $\bf i^2 = -1$ and that's why we have to seprate of negative one and positive 9

14. anonymous

ok

15. Nnesha

$\huge\rm \frac{ \sqrt{-1} \times \sqrt{9} }{ 4-3i }$ so replace sqrt -1 by 1 and multiply both the denominator and the numerator by the conjugate of 4-3i

16. anonymous

-9/25+12i/25?

17. Nnesha

nope how did you get 25

18. anonymous

just guessed

19. Nnesha

why did you guess ?

20. Nnesha

you are not 'n the exam haall this is the time to learn not to guess :=)

21. anonymous

Honestly I have no idea how to do this and not trying to be rude but i need the answer because i am taking a timed exam.......

22. Nnesha

really so it's a test question ..sorryy..

23. anonymous

yes

24. Nnesha

do you know we are not allowed to help u on your test or quiz? it's against the coc

25. anonymous

I know but i really dont understand this and i have also seen alot of people do the same thing as me

26. Nnesha

well..if someone don't aa bad thing then.. you don't have to follow them you will do better without cheating..

27. anonymous

ok, thanks for the help anway

28. Nnesha

what is square root of 9? replace square root of -1 by i multiply by the conjugate 4-3i if you don't know what conjugate then search it