document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=558608>Question 558608</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi could someone please help me, I have an Expression that needs rationalizing by taking the conjugate:<BR>\n" );
document.write( "3&#8730;10/6-8&#8730;3\r<BR>\n" );
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document.write( "it says the answer is -3&#8730;10-4&#8730;30/26 But I got nothing like this, here is what I tried:\r<BR>\n" );
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document.write( "I multiplied the top and bottom by the conjugate of the denominator 6-8&#8730;3, which I thought was 6+8&#8730;3.\r<BR>\n" );
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document.write( "So I did this:\r<BR>\n" );
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document.write( "3&#8730;10/ *6+8&#8730;3 = 18&#8730;10+8&#8730;3*3&#8730;10/<BR>\n" );
document.write( "6-8&#8730;3 *6+8&#8730;3   36-64*3\r<BR>\n" );
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document.write( "Obviously this is not even close to the correct answer, could someone please explain to me all the steps I need to do and where I am going wrong.\r<BR>\n" );
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document.write( "Many Thanks Jim.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #363101 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=363101\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3&#8730;10/6-8&#8730;3 <BR>\n" );
document.write( "it says the answer is -3&#8730;10-4&#8730;30/26 But I got nothing like this, here is what I tried: <BR>\n" );
document.write( "I multiplied the top and bottom by the conjugate of the denominator 6-8&#8730;3, which I thought was 6+8&#8730;3. <BR>\n" );
document.write( "So I did this: <BR>\n" );
document.write( "3&#8730;10/ *6+8&#8730;3 = 18&#8730;10+8&#8730;3*3&#8730;10/6 = (18sqrt(10) + 24sqrt(30))/6 <BR>\n" );
document.write( "= (3sqrt(10)+4sqrt(30)<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "6-8&#8730;3 *6+8&#8730;3 = 36-64*3 = 36 - 192 = -156 <BR>\n" );
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document.write( "Your symbols cause too much confusion.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3sqrt%2810%29%2F%286-8sqrt%283%29%29 ALIGN=MIDDLE  ALT=\"3sqrt%2810%29%2F%286-8sqrt%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3sqrt%2810%29%2A%286%2B8sqrt%283%29%29%2F%28-156%29 ALIGN=MIDDLE  ALT=\"3sqrt%2810%29%2A%286%2B8sqrt%283%29%29%2F%28-156%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2818sqrt%2810%29+%2B+24sqrt%2830%29%29%2F%28-156%29 ALIGN=MIDDLE  ALT=\"%2818sqrt%2810%29+%2B+24sqrt%2830%29%29%2F%28-156%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%283sqrt%2810%29+%2B+4sqrt%2830%29%29%2F26 ALIGN=MIDDLE  ALT=\"-%283sqrt%2810%29+%2B+4sqrt%2830%29%29%2F26\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );