anonymous
  • anonymous
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.
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
medal for anyone who can quickly go through this with me .
Hero
  • Hero
Draw the expression
anonymous
  • anonymous
|dw:1441508343904:dw|

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anonymous
  • anonymous
anonymous
  • anonymous
combine like terms in the denominator
anonymous
  • 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
anonymous
  • anonymous
these r the answers they gave me
anonymous
  • anonymous
cool. can you combine the like terms in the denominator
anonymous
  • anonymous
9+2i
anonymous
  • 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 \[\frac{ 2i(9-2i) }{ (9-2i)(9+2i) }\]
anonymous
  • anonymous
Distribute in the numerator. Use FOIL/difference of squares in the denominator. The i's will cancel in the denominator
triciaal
  • triciaal
they don't really cancel i^2 = -1
triciaal
  • triciaal
oh maybe you meant the term with i sorry

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