document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=290041>Question 290041</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the reciprocal of each complex number.<BR>\n" );
document.write( "-&#8730;5 - i&#8730;2\r<BR>\n" );
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document.write( "(the \"i\" is the imaginary number \"i\")\r<BR>\n" );
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document.write( "Thank You! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #209960 by </B><A HREF=/tutors/aboutme.mpl?userid=dabanfield><B>dabanfield(803)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dabanfield><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=209960\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> -&#8730;5 - i&#8730;2 \r<BR>\n" );
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document.write( "The reciprocal of the number above is:\r<BR>\n" );
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document.write( "1/((-sqrt(5) - i*sqrt(2))\r<BR>\n" );
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document.write( "Multiply the numberator and denominaotr by the conjugate of the denominator (that is -sqrt(5) + i*sqrt(2):\r<BR>\n" );
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document.write( "(1*(-sqrt(5) + i*sqrt(2)))/((-sqrt(5) - i*sqrt(2))*(-sqrt(5) + i*sqrt(2))) =<BR>\n" );
document.write( "(-sqrt(5) + i*sqrt(2))/((-sqrt(5)*-sqrt(5) - i^2*sqrt(2)*sqrt(2)) =<BR>\n" );
document.write( "(-sqrt(5) + i*sqrt(2))/(5 - (-2)) =<BR>\n" );
document.write( "(-sqrt(5) + i*sqrt(2))/7 </SPAN>\n" );
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