Question 1026767
Reciprocal: reverse numerator and denominator:
For (3-i)/2, reciprocal is 2/(3-i).
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To simplify denominator multiply by conjugate.
Conjugate of (3-i)=(3+i)
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Reciprocal={{{(2/(3-i))*((3+i)/(3+i))=(6+2i)/(9-(-1))}}}
Reciprocal={{{(6+2i)/10=6/10+(2i)/10}}}={{{(3/5)+(i/5)}}}