document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=68801>Question 68801</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0131808540/algebrahomeworkh>Algebra 1</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> What is the answer to -3 on the outside of the square root of 120? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #48974 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=48974\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Well if you're looking to simplify the expression you should find the perfect squares that are also factors of 120. The only perfect square that will work is 4, so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%2Asqrt%28120%29 ALIGN=MIDDLE  ALT=\"-3%2Asqrt%28120%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > can be written as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%2Asqrt%284%2A30%29 ALIGN=MIDDLE  ALT=\"-3%2Asqrt%284%2A30%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. <BR>\n" );
document.write( "Since a square root of a product is a product of square roots, (ie. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28xy%29=sqrt%28x%29%2Asqrt%28y%29 ALIGN=MIDDLE  ALT=\"sqrt%28xy%29=sqrt%28x%29%2Asqrt%28y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >), the expression then becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%2Asqrt%284%29%2Asqrt%2830%29 ALIGN=MIDDLE  ALT=\"-3%2Asqrt%284%29%2Asqrt%2830%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since 4 is a perfect square, the square root is 2, the expression becomes\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%2A2%2Asqrt%2830%29 ALIGN=MIDDLE  ALT=\"-3%2A2%2Asqrt%2830%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "Further simplication leaves the answer\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6%2Asqrt%2830%29 ALIGN=MIDDLE  ALT=\"-6%2Asqrt%2830%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. <BR>\n" );
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