document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=152697>Question 152697</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Express in simplest form with rationalized denominators: sqrt 7 - sqrt 5 / sqrt 5 + 3 sqrt 7 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #112214 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=112214\">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%287%29+-+sqrt%285%29%29+%2F+%28sqrt%285%29+%2B+3%2Asqrt%287%29%29 ALIGN=MIDDLE  ALT=\"%28sqrt%287%29+-+sqrt%285%29%29+%2F+%28sqrt%285%29+%2B+3%2Asqrt%287%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28sqrt%287%29+-+sqrt%285%29%29+%2F+%28sqrt%285%29+%2B+3%2Asqrt%287%29%29%29%28%28sqrt%285%29+-+3%2Asqrt%287%29%29%2F%28sqrt%285%29+-+3%2Asqrt%287%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both numerator and denominator by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%285%29+-+3%2Asqrt%287%29 ALIGN=MIDDLE  ALT=\"sqrt%285%29+-+3%2Asqrt%287%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28sqrt%287%29+-+sqrt%285%29%29%28sqrt%285%29+-+3%2Asqrt%287%29%29%29+%2F+%28%28sqrt%285%29+%2B+3%2Asqrt%287%29%29%28sqrt%285%29+-+3%2Asqrt%287%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the fractions\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%287%29sqrt%285%29-+3%2Asqrt%287%29sqrt%287%29+-+sqrt%285%29sqrt%285%29%2B3%2Asqrt%285%29sqrt%287%29%29+%2F+%28sqrt%285%29sqrt%285%29-3%2Asqrt%285%29sqrt%287%29%2B3%2Asqrt%285%29sqrt%287%29-3%2A3%2Asqrt%287%29sqrt%287%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > FOIL\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%2835%29-+3%2A7+-+5%2B3%2Asqrt%2835%29%29+%2F+%285-3%2Asqrt%2835%29%2B3%2Asqrt%2835%29-9%2A7%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Combine and multiply the roots.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-26%2B4%2Asqrt%2835%29%29+%2F+%28-58%29 ALIGN=MIDDLE  ALT=\"%28-26%2B4%2Asqrt%2835%29%29+%2F+%28-58%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2813-2%2Asqrt%2835%29%29+%2F+%2829%29 ALIGN=MIDDLE  ALT=\"%2813-2%2Asqrt%2835%29%29+%2F+%2829%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%287%29+-+sqrt%285%29%29+%2F+%28sqrt%285%29+%2B+3%2Asqrt%287%29%29=%2813-2%2Asqrt%2835%29%29+%2F+%2829%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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