document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=76292>Question 76292</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/093979862x/algebrahomeworkh>Alegbra Concepts and Applications</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Please help to simplify\r<BR>\n" );
document.write( "\n" );
document.write( "3i - 2i^2 + 3 \r<BR>\n" );
document.write( "\n" );
document.write( "DIvided by\r<BR>\n" );
document.write( "\n" );
document.write( "the square root of -16 - the square root of -2 times the square root of -2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #54741 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=54741\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> simplify <BR>\n" );
document.write( "3i - 2i^2 + 3 <BR>\n" );
document.write( "DIvided by <BR>\n" );
document.write( "the square root of -16 - the square root of -2 times the square root of -2<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "[3i -2i^2 + 3]/[sqrt(-16) -(sqrt(-2)*sqrt(-2))]\r<BR>\n" );
document.write( "\n" );
document.write( "=[3i + 2 + 3]/[4i -(isqrt(2))^2]\r<BR>\n" );
document.write( "\n" );
document.write( "=[3i+5]/[4i - (-2)]\r<BR>\n" );
document.write( "\n" );
document.write( "=[5+3i]/[2+4i]<BR>\n" );
document.write( "Multiply numerator and denominator by 2-4i to get:\r<BR>\n" );
document.write( "\n" );
document.write( "=(5+3i)(2-4i)/20\r<BR>\n" );
document.write( "\n" );
document.write( "=(22-14i)/20\r<BR>\n" );
document.write( "\n" );
document.write( "=(11-7i)/10\r<BR>\n" );
document.write( "\n" );
document.write( "============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );