document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=32187>Question 32187</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone help me with this, I have tried several times but end up with the wrong answer. According to the sheet, the answer is 8. ***Use the product property of square roots and factoring to simplify this expression. \r<BR>\n" );
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document.write( "sqrt125 + sqrt45 - (sqrt75 + sqrt27) / sqrt5 - sqrt3\r<BR>\n" );
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document.write( "Thank you for your help, Steven </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #18727 by </B><A HREF=/tutors/aboutme.mpl?userid=Fermat><B>Fermat(136)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fermat><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=Fermat><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=18727\">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%28125%29+%2B+sqrt%2845%29+-+%28sqrt%2875%29+%2B+sqrt%2827%29%29%29+%2F+%28sqrt%285%29+-+sqrt%283%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Are you familiar with this?<BR>\n" );
document.write( "a^2 - b^2 = (a-b)(a+b)<BR>\n" );
document.write( "we simply square root everything to get this product property of square roots.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+-+b+=+%28sqrt%28a%29-sqrt%28b%29%29%28sqrt%28a%29%2Bsqrt%28b%29%29 ALIGN=MIDDLE  ALT=\"a+-+b+=+%28sqrt%28a%29-sqrt%28b%29%29%28sqrt%28a%29%2Bsqrt%28b%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We use this product property by multiplying top and bottom of the original expression by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%285%29%2Bsqrt%283%29%29 ALIGN=MIDDLE  ALT=\"%28sqrt%285%29%2Bsqrt%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. This gives us,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%28625%29%2Bsqrt%28225%29-%28sqrt%28375%29%2Bsqrt%28135%29%29%2Bsqrt%28375%29%2Bsqrt%28135%29-%28sqrt%28225%29%2Bsqrt%2881%29%29%29%2F%28%28sqrt%285%29+-+sqrt%283%29%29%28sqrt%285%29+%2B+sqrt%283%29%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2825%2Bsqrt%28225%29-sqrt%28375%29-sqrt%28135%29%2Bsqrt%28375%29%2Bsqrt%28135%29-sqrt%28225%29-9%29%2F%285-3%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "All the square root terms on the top cancel out and we are left with,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2825-9%29%2F2 ALIGN=MIDDLE  ALT=\"%2825-9%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%2F2 ALIGN=MIDDLE  ALT=\"16%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8 ALIGN=MIDDLE  ALT=\"8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "== </SPAN>\n" );
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