document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=991482>Question 991482</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello. I am having a real \hard time with rationalizing so I hope you can help. My problem is this:\r<BR>\n" );
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document.write( "5&#8730;5-3&#8730;3<BR>\n" );
document.write( "-------                                                                                    4&#8730;5+2&#8730;3\r<BR>\n" );
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document.write( "Do I need to multiply by the same conjugated denominator? would it be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4+sqrt%285%29-2+sqrt+%283%29 ALIGN=MIDDLE  ALT=\"4+sqrt%285%29-2+sqrt+%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #611348 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=611348\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> you are correct<BR>\n" );
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document.write( "(5sqrt(5) - 3sqrt(3)) / (4sqrt(5) + 2sqrt(3))<BR>\n" );
document.write( "multiply denominator and numerator by (4sqrt(5) - 2sqrt(3))<BR>\n" );
document.write( "((5sqrt(5) - 3sqrt(3)) * (4sqrt(5) - 2sqrt(3))) / (16*5 - 4*3) =<BR>\n" );
document.write( "(20*5 -22sqrt(15) +6*3) / 68 =<BR>\n" );
document.write( "(118 - 22sqrt(15)) / 68 =<BR>\n" );
document.write( "2(59 - 11sqrt(15)) /68 =<BR>\n" );
document.write( "(59 - 11sqrt(15)) / 34<BR>\n" );
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