document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=972558>Question 972558</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how do you simplify radical 8x squared </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #854507 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(53875)</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=854507\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "how do you simplify radical 8x squared<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;@lwsshak3 gives the answer in his post <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"2x%2Asqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;This answer is incorrect, and I will explain it below.\r<BR>\n" );
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document.write( "In expression &nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%288x%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%288x%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, &nbsp;value of x can be positive or negative (or zero).\r<BR>\n" );
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document.write( "Expression &nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%288x%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%288x%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > &nbsp;makes sense and is defined for both positive and/or negative values of x.\r<BR>\n" );
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document.write( "Also, according to the common agreement, square root of a number is understood in a middle school as a positive value.\r<BR>\n" );
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document.write( "THEREFORE, &nbsp;the correct answer to the problem's question is &nbsp;&nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Aabs%28x%29%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"2%2Aabs%28x%29%2Asqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "It works universally for positive and negative values of &nbsp;'x',\r<BR>\n" );
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document.write( "while expression &nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"2x%2Asqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > &nbsp;gives a negative value for negative &nbsp;'x', &nbsp;which contradicts to the common agreement.\r<BR>\n" );
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document.write( "This question/problem is a standard &nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28highlight%28TRAP%29%29 ALIGN=MIDDLE  ALT=\"highlight%28highlight%28TRAP%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, &nbsp;and almost all <BR>\n" );
document.write( "unfortunate newcomers, who are not familiar with this explanation, &nbsp;fall into this trap.\r<BR>\n" );
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document.write( "The percentage of these unfortunate newcomers is about &nbsp;99.999%, &nbsp;I think, &nbsp;or even more than that.\r<BR>\n" );
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