Please tell how to solve question 7.Asap

Dear Student ,

Consider 1+in1-in-2Rewrite it as1+in1-in-2=1+i1-in-2×1+i2                  =1+i×1+i1-i1+in-2×1+i2                  =1+i212-i2n-2×1+i2Using a+b2=a2+b2+2ab , a-ba-b=a2-b2                 =1+i2+2i1--1n-21+i2+2i         i2+1=0                =2i2n-22i               =in-2×2i               =2in-1      if n=1                =2i1-1                 =2Then the expression is real number,Thus the smallest positive integer value of n is 1

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