astra
astra astra
  • 21-12-2017
  • Mathematics
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[tex] \frac{ \sqrt{-4} }{(3+1)-(2+3i)} [/tex]  simplfy the expression


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IssacAsimov
IssacAsimov IssacAsimov
  • 22-12-2017
[tex] \sqrt{-4} [/tex] can also be written as 2i 
where i = √-1

[tex] \frac{2i}{4-2-3i} = \frac{2i}{2-3i} [/tex]

Rationalizing denominator,

[tex] \frac{2i(2+3i)}{(2-3i)(2+3i)} = \frac{4i-6}{4+9} = \frac{4i-6}{13} [/tex]
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