document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=99744>Question 99744</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, I have a few problems on complex numbers that I don't understand how to solve them. Could you please help me on these problems? Thank you very much. \r<BR>\n" );
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document.write( "problem 1: 3/sqrt2-5i (i is for imaginary number) <BR>\n" );
document.write( "problem 2: divide (1+i) by (2-i). Write the result in standard form. (i is for imaginary number)<BR>\n" );
document.write( "problem 3: perform the operation and write the result in standard form: (5-sqrt4)^2<BR>\n" );
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document.write( "Thank you again, <BR>\n" );
document.write( "Kumi </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #72624 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=72624\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> problem 1: 3/sqrt2-5i (i is for imaginary number) \r<BR>\n" );
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document.write( "= (3(sqrt(2)+5i)/[sqrt(2)-5i)(sqrt(2)+5i)]\r<BR>\n" );
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document.write( "= [3(sqrt(2)+5i)] / [2+25]\r<BR>\n" );
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document.write( "= (sqrt(2)+5i)/9\r<BR>\n" );
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document.write( "= (1/9)sqrt(2)+(5/9)i\r<BR>\n" );
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document.write( "------------------------------------\r<BR>\n" );
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document.write( "problem 2: divide (1+i) by (2-i). Write the result in standard form. (i is for imaginary number)<BR>\n" );
document.write( "(1+i)/(2-i)\r<BR>\n" );
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document.write( "= [(1+i)(2+i)]/[(2-i)(2+i)] \r<BR>\n" );
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document.write( "= [1+3i]/[4+1]\r<BR>\n" );
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document.write( "= (1/5)+(3/5)i\r<BR>\n" );
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document.write( "--------------------------------\r<BR>\n" );
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document.write( "problem 3: perform the operation and write the result in standard form: <BR>\n" );
document.write( "(5-sqrt4)^2<BR>\n" );
document.write( "= 25+4 -2*5*sqrt4\r<BR>\n" );
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document.write( "= 29 - 20\r<BR>\n" );
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document.write( "= 9<BR>\n" );
document.write( "============================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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