Evaluate the expression ans write the result in theform a + bi 1 − − 1 1 + − 1

Question

Evaluate the expression ans write the result in theform a + bi            1      −              −        1                    1      +              −        1

Brendon Bentley · Accepted Answer

1      −              −        1                    1      +              −        1              =            1      −              1        ∗        (                  i                      2                          )                    1      +              1        ∗        (                  i                      2                          )              =            1      −      i              1      +      i        =            (      1      −      i      )      (      1      −      i      )              (      1      −      i      )      (      1      +      i      )        =            1      −      i      −      i      +              i                  2                            1      +      i      −      i      −              i                  2                      =            1      −      2      i      −      1              1      +      1        =            −      2      i        2    =  −  ikey points:1).       i          2        =  −  12).for complex fraction, multiplie the conjugate of the denominator.

Evaluate the expression ans write the result in theform a + bi (1-sqrt(-1))/(1+sqrt(-1))

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