document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=322848>Question 322848</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can somebody Please help me solve this problem? I have been working on it a long time and I still do not understand it.\r<BR>\n" );
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document.write( "Simplify as much as possible\r<BR>\n" );
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document.write( "x sqrt 6t^3-tsqrt24tx^2\r<BR>\n" );
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document.write( "Assume that all variables represent positive real numbers </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #231118 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=231118\">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=x%2Asqrt%286t%5E3%29-t%2Asqrt%2824tx%5E2%29 ALIGN=MIDDLE  ALT=\"x%2Asqrt%286t%5E3%29-t%2Asqrt%2824tx%5E2%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=x%2Asqrt%286t%5E2%2At%29-t%2Asqrt%2824tx%5E2%29 ALIGN=MIDDLE  ALT=\"x%2Asqrt%286t%5E2%2At%29-t%2Asqrt%2824tx%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5E3 ALIGN=MIDDLE  ALT=\"t%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5E2%2At ALIGN=MIDDLE  ALT=\"t%5E2%2At\"   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=x%2Asqrt%286t%5E2%2At%29-t%2Asqrt%284%2A6tx%5E2%29 ALIGN=MIDDLE  ALT=\"x%2Asqrt%286t%5E2%2At%29-t%2Asqrt%284%2A6tx%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24tx%5E2 ALIGN=MIDDLE  ALT=\"24tx%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2A6tx%5E2 ALIGN=MIDDLE  ALT=\"4%2A6tx%5E2\"   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=x%2Asqrt%286%29%2Asqrt%28t%5E2%29%2Asqrt%28t%29-t%2Asqrt%284%29%2Asqrt%286%29%2Asqrt%28t%29%2Asqrt%28x%5E2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Break up the roots.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Asqrt%286%29%2Asqrt%28t%5E2%29%2Asqrt%28t%29-t%2A2%2Asqrt%286%29%2Asqrt%28t%29%2Asqrt%28x%5E2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Take the square root of 4 to get 2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Asqrt%286%29%2At%2Asqrt%28t%29-t%2A2%2Asqrt%286%29%2Asqrt%28t%29%2Asqrt%28x%5E2%29 ALIGN=MIDDLE  ALT=\"x%2Asqrt%286%29%2At%2Asqrt%28t%29-t%2A2%2Asqrt%286%29%2Asqrt%28t%29%2Asqrt%28x%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the square root of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5E2 ALIGN=MIDDLE  ALT=\"t%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get 't'\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Asqrt%286%29%2At%2Asqrt%28t%29-t%2A2%2Asqrt%286%29%2Asqrt%28t%29%2Ax ALIGN=MIDDLE  ALT=\"x%2Asqrt%286%29%2At%2Asqrt%28t%29-t%2A2%2Asqrt%286%29%2Asqrt%28t%29%2Ax\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the square root of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get 'x'\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tx%2Asqrt%286t%29-2tx%2Asqrt%286t%29 ALIGN=MIDDLE  ALT=\"tx%2Asqrt%286t%29-2tx%2Asqrt%286t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rearrange the terms and combine the roots.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%286t%29%28tx-2tx%29 ALIGN=MIDDLE  ALT=\"sqrt%286t%29%28tx-2tx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor out <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%286t%29 ALIGN=MIDDLE  ALT=\"sqrt%286t%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=sqrt%286t%29%28-tx%29 ALIGN=MIDDLE  ALT=\"sqrt%286t%29%28-tx%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=-tx%2Asqrt%286t%29 ALIGN=MIDDLE  ALT=\"-tx%2Asqrt%286t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rearrange the terms.\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Asqrt%286t%5E3%29-t%2Asqrt%2824tx%5E2%29=-tx%2Asqrt%286t%29 ALIGN=MIDDLE  ALT=\"x%2Asqrt%286t%5E3%29-t%2Asqrt%2824tx%5E2%29=-tx%2Asqrt%286t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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