21-12-2017
Mathematics

contestada

[tex] \frac{ \sqrt{-4} }{(3+1)-(2+3i)} [/tex] simplfy the expression

Respuesta :

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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