Write the complex number #8/(1+i)# in standard form?

1 Answer
May 13, 2015

In the division of complex number you need first to change the denominator into a pure real number. To do that you multiply and divide by the complex conjugate of the denominator, in this case, #1-i#. So:

#8/(1+i)*(1-i)/(1-i)=(8-8i)/(1+1)=8/2-8/2i=4-4i#

Remember that: #(1+i)(1-i)=1-i+i-i^2# but #i^2=sqrt(-1))^2=-1#
giving: #(1+i)(1-i)=1+1=2#