document.write( "Question 42543: Simplify: (1 + i)/(2 - i). \r
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Algebra.Com's Answer #27698 by fractalier(6550) $\"\"$ $\"About$

You can put this solution on YOUR website!
We need to multiply top and bottom by the conjugate of the bottom...here that's 2+i, so we get
\n" ); document.write( "(1 + i)/(2 - i) =
\n" ); document.write( "(1 + i)(2 + i) / (2 - i)(2 + i) =
\n" ); document.write( "(2 + i + 2i - 1) / (4 + 2i - 2i + 1) =
\n" ); document.write( "(1 + 3i) / 5 \n" ); document.write( "

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