Write the following expressions as a complex number in standard form.
1).
Form the conjugate of by changing the sign of the term
containing and leaving the sign of the first term.
Thus the conjugate of is .
Place that conjugate over itself, like this ,
which just equals 1, and so we can now multiply the original
expression by that without changing its value:
Using FOIL on top and bottom:
Combining like terms (the middle terms cancel in the bottom)
Replace by
Simplify:
Make two fractions, and write the as multiplied on the right of
the second fraction, so it will be in the standard form :
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2).
You only need to multiply that by
Replace the by
Edwin