document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=479289>Question 479289</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi. Here is the problem I'm stuck on. The math problem says to simplify the expression.\r<BR>\n" );
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document.write( "I know the square root of 864 is 12 sqrt 6, but I don't know what to do with the x^2. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #852381 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52956)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=852381\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Hi. Here is the problem I'm stuck on. The math problem says to simplify the expression.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt+864x%5E2+ ALIGN=MIDDLE  ALT=\"+sqrt+864x%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I know the square root of 864 is 12 sqrt 6, but I don't know what to do with the x^2.<BR>\n" );
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document.write( "The answers in the posts by tutors &nbsp;@Theo and &nbsp;@MathLover1, &nbsp;giving &nbsp;&nbsp;12x*sqrt(6), &nbsp;&nbsp;both are incorrect.\r<BR>\n" );
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document.write( "The correct answer is  &nbsp;&nbsp;12*|x|*sqrt(6).\r<BR>\n" );
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document.write( "The &nbsp;@Theo's answer and the &nbsp;@MathLover1's answer are valid only for non-negative &nbsp;'x'.\r<BR>\n" );
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document.write( "For negative values of &nbsp;'x' &nbsp;they are wrong.\r<BR>\n" );
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document.write( "But in the original expression, &nbsp;'x' &nbsp;can be negative, &nbsp;too.\r<BR>\n" );
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document.write( "In this case, &nbsp;the @Theo's answer and the @MathLover1 answer  both are &nbsp;INCORRECT, \r<BR>\n" );
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document.write( "while my answer works for both cases non-negative and negative values of &nbsp;'x',\r<BR>\n" );
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document.write( "so, &nbsp;it is universally correct.\r<BR>\n" );
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document.write( "It is very important to know what is a correct expression for &nbsp;&nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28x%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "It is not &nbsp;'x', &nbsp;as &nbsp;99% &nbsp;of people and &nbsp;90% &nbsp;of teachers and tutors think.  \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;The correct expression is &nbsp;|x|.  \r<BR>\n" );
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document.write( "99% &nbsp;of students of middle school and of high school don't know it.\r<BR>\n" );
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document.write( "For you, &nbsp;reading this my post is the rare and the happy opportunity to learn the truth.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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