document.write( "Question 389503: What is an equivalent form of 2/3+i? \n" ); document.write( "

Algebra.Com's Answer #276009 by MathLover1(20850) $\"\"$ $\"About$

You can put this solution on YOUR website!
To remove $\"i-terms\"$ on the denominator, you multiply above and below by the complex conjugate of the denominator (in this case $\"%283-i%29\"$ ):\r
\n" ); document.write( "\n" ); document.write( " $\"2+%2F+%283+%2B+i%29+=+2+%2F+%283+%2B+i%29+%2A+%283+-+i%29%2F%283+-+i%29\"$
\n" ); document.write( "= $\"2%283+-+i%29+%2F+%283+%2B+i%29%283+-+i%29\"$
\n" ); document.write( "= $\"2%283+-+i%29+%2F+%283%5E2+-i%5E2%29\"$
\n" ); document.write( "= $\"2%283+-+i%29+%2F+%283%5E2+%2B1%29+\"$ [ take extreme care with -i^2]
\n" ); document.write( "= $\"2%283+-+i%29+%2F+10\"$
\n" ); document.write( "= $\"%283+-+i%29+%2F+5\"$ \n" ); document.write( "

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