## anonymous one year ago simplify

1. anonymous

|dw:1438029178146:dw|

2. Nnesha

multiply denominator and number by the conjugate of 2+7i

3. Nnesha

what is the conjugate of 2+7i ? do you know ?

4. anonymous

2-7i

5. Nnesha

yep right so multiply $\huge\rm \frac{ 2 }{ 2+7i } \times \frac{ 2-7i }{ 2-7i }$ multiply numerator by numerator and denominator by denominator

6. anonymous

7. Nnesha

how did you get 8 at the numerator ?

8. Nnesha

$\huge\rm \frac{ 2 }{ 2+7i } \times \frac{ 2-7i }{ 2-7i }$ $\frac{ 2(2-7i) }{ (2+7i)(2-7i) }$ distribute parentheses by 2

9. anonymous

|dw:1438034776416:dw|

10. anonymous

is that it???

11. Nnesha

how did you get that ?

12. Nnesha

please try to solve it i know those are the options ...... so better to solve than guessing

13. Nnesha

:=)

14. anonymous

thats the only answer that has 4 in it

15. Nnesha

post all of them

16. anonymous

|dw:1438035370710:dw|

17. anonymous

|dw:1438035413441:dw|

18. anonymous

thats all four

19. Nnesha

oh true nvm

20. Nnesha

21. anonymous

im confused

22. Nnesha

so first time you got it right

23. Nnesha

well there is 4 in the original question i typed 2 and u didn't correct me ..

24. Nnesha

my mistake..

25. anonymous

so the answer is 8-28i over 53?

26. Nnesha

yep

27. anonymous

okay thanks