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balu736 [363]
3 years ago
13

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

Mathematics
2 answers:
VladimirAG [237]3 years ago
8 0
\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}
kolbaska11 [484]3 years ago
4 0
The answer is -⅘ + ⅖i
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