document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=146575>Question 146575</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Rationalize the denominator an simplify.\r<BR>\n" );
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document.write( "3 /  sqrt (x) + 5\r<BR>\n" );
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document.write( "three divided by sqrt (x) plus five.\r<BR>\n" );
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document.write( "I started by mutiplying the demoninator of sqrt (x) + 5 to the numerator and the denominator.  Next I distributed the numerator and squared the denominator.  Not sure where to go after that.  Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #107022 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=107022\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3+%2F+%28sqrt+%28x%29+%2B+5%29 ALIGN=MIDDLE  ALT=\"3+%2F+%28sqrt+%28x%29+%2B+5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "There might be other methods, but the simplest is to multiply thru by the \"conjugate\", a term that actually has a meaning to do with imaginary numbers.<BR>\n" );
document.write( "Multiply thru by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5+-+sqrt%28x%29 ALIGN=MIDDLE  ALT=\"5+-+sqrt%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2A%285+-+sqrt%28x%29%29%29%2F%28%285+%2B+sqrt%28x%29%29%2A%285+-+sqrt%28x%29%29%29 ALIGN=MIDDLE  ALT=\"%283%2A%285+-+sqrt%28x%29%29%29%2F%28%285+%2B+sqrt%28x%29%29%2A%285+-+sqrt%28x%29%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=%2815+-+3sqrt%28x%29%29%2F%2825+-+x%29 ALIGN=MIDDLE  ALT=\"%2815+-+3sqrt%28x%29%29%2F%2825+-+x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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