document.write( "Question 173856: I'm having problems figuring these type for problems can you help?
\n" ); document.write( "6+2i/1+i \n" ); document.write( "

Algebra.Com's Answer #128724 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Division by complex numbers is really multiplication in disguise.
\n" ); document.write( "Multiply by the complex conjugate of the denominator.
\n" ); document.write( " $\"%286%2B2i%29%2F%281%2Bi%29=%28%286%2B2i%29%2F%281%2Bi%29%29%2A%28%281-i%29%2F%281-i%29%29\"$
\n" ); document.write( " $\"%286%2B2i%29%2F%281%2Bi%29=%28%286%2B2i%29%2A%281-i%29%29%2F%28%281%2Bi%29%2A%281-i%29%29\"$
\n" ); document.write( "Let's work out the numerator first, similar to the FOIL method,
\n" ); document.write( " $\"%286%2B2i%29%2A%281-i%29=6-6i%2B2i-2i%5E2\"$
\n" ); document.write( " $\"%286%2B2i%29%2A%281-i%29=6-4i%2B2\"$
\n" ); document.write( " $\"%286%2B2i%29%2A%281-i%29=8-4i\"$
\n" ); document.write( "Next the denominator,
\n" ); document.write( " $\"%281%2Bi%29%2A%281-i%29=1-i%2Bi-i%5E2\"$
\n" ); document.write( " $\"%281%2Bi%29%2A%281-i%29=1-%28-1%29\"$
\n" ); document.write( " $\"%281%2Bi%29%2A%281-i%29=2\"$
\n" ); document.write( "Now put it all together,
\n" ); document.write( " $\"%286%2B2i%29%2F%281%2Bi%29=%28%286%2B2i%29%2A%281-i%29%29%2F%28%281%2Bi%29%2A%281-i%29%29\"$
\n" ); document.write( " $\"%286%2B2i%29%2F%281%2Bi%29=%288-4i%29%2F2\"$
\n" ); document.write( " $\"%286%2B2i%29%2F%281%2Bi%29=4-2i\"$ \n" ); document.write( "

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