document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=191291>Question 191291</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780136007319/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I need some help with a problem that states I need to rationalize the denominator. The problem is (square(3)-square(4))/(square(3)+square(4)). I did the steps that it said to, but my answer does not match the answer in the book. When I solved the problem I got (square(3)-square(4)(square(3)+square(4) with a - 1 for the denominator?<BR>\n" );
document.write( "What am I doing wrong?<BR>\n" );
document.write( "Any help would be greatly appreciated! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #143582 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=143582\">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=%28sqrt%283%29-sqrt%284%29%29%2F%28sqrt%283%29%2Bsqrt%284%29%29 ALIGN=MIDDLE  ALT=\"%28sqrt%283%29-sqrt%284%29%29%2F%28sqrt%283%29%2Bsqrt%284%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28sqrt%283%29-sqrt%284%29%29%28sqrt%283%29-sqrt%284%29%29%29%2F%28%28sqrt%283%29%2Bsqrt%284%29%29%28sqrt%283%29-sqrt%284%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both the numerator and denominator by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283%29-sqrt%284%29 ALIGN=MIDDLE  ALT=\"sqrt%283%29-sqrt%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Note: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283%29-sqrt%284%29 ALIGN=MIDDLE  ALT=\"sqrt%283%29-sqrt%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the conjugate of the denominator <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283%29%2Bsqrt%284%29 ALIGN=MIDDLE  ALT=\"sqrt%283%29%2Bsqrt%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Multiplying these two expressions yields a rational expression\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28sqrt%283%29-sqrt%284%29%29%28sqrt%283%29-sqrt%284%29%29%29%2F%28%28sqrt%283%29%29%5E2-%28sqrt%284%29%29%5E2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > FOIL the denominator (use the difference of squares formula)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28sqrt%283%29%29%5E2-2%2Asqrt%284%29%2Asqrt%283%29%2B%28sqrt%284%29%29%5E2%29%2F%28%28sqrt%283%29%29%5E2-%28sqrt%284%29%29%5E2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > FOIL the numerator (use the perfect square formula)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283-2%2Asqrt%284%29%2Asqrt%283%29%2B4%29%2F%283-4%29 ALIGN=MIDDLE  ALT=\"%283-2%2Asqrt%284%29%2Asqrt%283%29%2B4%29%2F%283-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Square each term\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283-2%2Asqrt%2812%29%2B4%29%2F%283-4%29 ALIGN=MIDDLE  ALT=\"%283-2%2Asqrt%2812%29%2B4%29%2F%283-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine and multiply the roots.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287-2%2Asqrt%2812%29%29%2F%28-1%29 ALIGN=MIDDLE  ALT=\"%287-2%2Asqrt%2812%29%29%2F%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287-2%2A2%2Asqrt%283%29%29%2F%28-1%29 ALIGN=MIDDLE  ALT=\"%287-2%2A2%2Asqrt%283%29%29%2F%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2812%29 ALIGN=MIDDLE  ALT=\"sqrt%2812%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Asqrt%283%29 ALIGN=MIDDLE  ALT=\"2%2Asqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287-4%2Asqrt%283%29%29%2F%28-1%29 ALIGN=MIDDLE  ALT=\"%287-4%2Asqrt%283%29%29%2F%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-7%2B4%2Asqrt%283%29 ALIGN=MIDDLE  ALT=\"-7%2B4%2Asqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%283%29-sqrt%284%29%29%2F%28sqrt%283%29%2Bsqrt%284%29%29=-7%2B4%2Asqrt%283%29 ALIGN=MIDDLE  ALT=\"%28sqrt%283%29-sqrt%284%29%29%2F%28sqrt%283%29%2Bsqrt%284%29%29=-7%2B4%2Asqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );