mesha4200 mesha4200

30-08-2017
Mathematics

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Simplify the expression square root 4/(3+I)-(2+3i)

Simplify the expression square root 43I23i class=

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roxanastarksour473 roxanastarksour473

30-08-2017

The answer is -⅘ + ⅖i

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Banabanana Banabanana

30-08-2017

[tex] \cfrac{ \sqrt{-4} }{(3+i)-(2+3i)} = \cfrac{ 2i}{3+i-2-3i} = \cfrac{ 2i}{1-2i}= \cfrac{ 2i(1+2i)}{(1-2i)(1+2i)}= \\\\=\cfrac{ 2i-4}{1+4}= \cfrac{ -4+2i}{5}[/tex]

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