## anonymous one year ago Rationalize the denominator of square root of negative four over open parentheses 7 minus 3 I close parentheses plus open parentheses 2 plus 5 i.

1. anonymous

medal for anyone who can quickly go through this with me .

2. Hero

Draw the expression

3. anonymous

|dw:1441508343904:dw|

4. anonymous

@Hero

5. anonymous

combine like terms in the denominator

6. anonymous

quantity of negative 16 plus 18 I over 7 quantity of 16 plus 18 I over 145 quantity of 4 plus 18 I over 85 quantity of negative 4 plus 18 I over 77

7. anonymous

these r the answers they gave me

8. anonymous

cool. can you combine the like terms in the denominator

9. anonymous

9+2i

10. anonymous

yeah so now you need to multiply both the numerator and denominator by the conjugate, which is 9 - 2i. You can also rewrite the numerator as 2i $\frac{ 2i(9-2i) }{ (9-2i)(9+2i) }$

11. anonymous

Distribute in the numerator. Use FOIL/difference of squares in the denominator. The i's will cancel in the denominator

12. triciaal

they don't really cancel i^2 = -1

13. triciaal

oh maybe you meant the term with i sorry