P.S.-i have not shown the simplification . you can do it by rationalisation
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Sk Uchiha answered this
Rationalise the denominator by multiplying and dividing by 1+i
You get:-
Z =(1+i/1-i)*(1+i/1+i)
= (1+i)2/1-(-1)
=(1-1+2i)/2
= i
0
Manjeet answered this
-i
2
Albreat Jonson answered this
Hope this helps u
2
Kruti answered this
Z= 1+ i/ 1- i
= 1+i/ 1- i * 1+ i / 1+ i ( bcoz to find conjugate we need to rationalize the term)
= (1+ i)^2/(1^2 - i^2)
= 1^2 + 2i + i^2/ 1+ 1
= 1-1+ 2i/ 2
= 2i/2
Therefore conjugate of Z = i