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

Simplify the expression square root 4/(3+I)-(2+3i)-example-1
User Chris Voon
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The answer is -⅘ + ⅖i
User Marvinav
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\cfrac{ √(-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}
User Josh Undefined
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