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Express the following expression in form...

Express the following expression in form of `a+ib`: `((3+i sqrt(5))(3-i sqrt(5)))/((sqrt(3)+sqrt(2) ( i ))-(sqrt(3)-i sqrt(2)))`

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((3+i sqrt(5))(3-i sqrt(5)))/((sqrt(3)+sqrt(2) i)-(sqrt(3)-i sqrt(2)))=(3^(2)-(i sqrt(5))^(2))/(sqrt(3)+sqrt(2) i-sqrt(3)+sqrt(2) i).
.=(9-(-5))/(2 sqrt(2) i)=(14)/(2 sqrt(2) i)=(7)/(sqrt(2) i) xx (sqrt(2) i)/(sqrt(2) i)=(7 sqrt(2) i)/(-2)=0+(-7 sqrt(2))/(2).
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