document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=397611>Question 397611</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you simplify complex Radical numbers ?<BR>\n" );
document.write( "ex: 3(squareroot of 3) - 1<BR>\n" );
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document.write( "    3(squareroot of 2) - 1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #281724 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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/cgi-bin/show-face.mpl?user=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=281724\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Btw, these do not involve complex numbers so I have changed the subject. However, some of these techniques can be used to simplify complex number expressions.\r<BR>\n" );
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document.write( "Multiply both sides by the conjugate of the denominator, i.e. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3sqrt%282%29+%2B+1 ALIGN=MIDDLE  ALT=\"3sqrt%282%29+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > to produce\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%283sqrt%283%29+-+1%29%2F%283sqrt%282%29+-+1%29%29%28%283sqrt%282%29+%2B+1%29%2F%283sqrt%282%29+%2B+1%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "A consequence of the difference of two squares theorem, this ensures the denominator will be an integer. </SPAN>\n" );
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