document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=88353>Question 88353</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help. <BR>\n" );
document.write( "I need to simplify square root 2t^5 times square root10t^4<BR>\n" );
document.write( "Thanks in advance! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #64166 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=64166\">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=sqrt%282t%5E5%29sqrt%2810t%5E4%29 ALIGN=MIDDLE  ALT=\"sqrt%282t%5E5%29sqrt%2810t%5E4%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%282t%5E5%2A10t%5E4%29 ALIGN=MIDDLE  ALT=\"sqrt%282t%5E5%2A10t%5E4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the square roots using the identity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%2Ay%29=sqrt%28x%29%2Asqrt%28y%29 ALIGN=MIDDLE  ALT=\"sqrt%28x%2Ay%29=sqrt%28x%29%2Asqrt%28y%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%2820t%5E9%29 ALIGN=MIDDLE  ALT=\"sqrt%2820t%5E9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%284%2A5%2At%5E9%29 ALIGN=MIDDLE  ALT=\"sqrt%284%2A5%2At%5E9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20 ALIGN=MIDDLE  ALT=\"20\"   DISABLED_style= \"max-width:90%; height:auto;\" > into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2A5 ALIGN=MIDDLE  ALT=\"4%2A5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%284%2A5%2At%2At%5E2%2At%5E2%2At%5E2%2At%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%284%2A5%2At%2At%5E2%2At%5E2%2At%5E2%2At%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5E9 ALIGN=MIDDLE  ALT=\"t%5E9\"   DISABLED_style= \"max-width:90%; height:auto;\" > into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2At%5E2%2At%5E2%2At%5E2%2At%5E2 ALIGN=MIDDLE  ALT=\"t%2At%5E2%2At%5E2%2At%5E2%2At%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%284%29%2Asqrt%285%29%2Asqrt%28t%29%2Asqrt%28t%5E2%29%2Asqrt%28t%5E2%29%2Asqrt%28t%5E2%29%2Asqrt%28t%5E2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Break up the square roots using the identity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%2Ay%29=sqrt%28x%29%2Asqrt%28y%29 ALIGN=MIDDLE  ALT=\"sqrt%28x%2Ay%29=sqrt%28x%29%2Asqrt%28y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Asqrt%285%29%2Asqrt%28t%29%2Asqrt%28t%5E2%29%2Asqrt%28t%5E2%29%2Asqrt%28t%5E2%29%2Asqrt%28t%5E2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Take the square root of the perfect square <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4 ALIGN=MIDDLE  ALT=\"4\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get 2 <BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Asqrt%285%29%2Asqrt%28t%29%2At%2At%2At%2At ALIGN=MIDDLE  ALT=\"2%2Asqrt%285%29%2Asqrt%28t%29%2At%2At%2At%2At\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the square root of each of the perfect squares <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 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Asqrt%285%29%2At%5E4%2Asqrt%28t%29 ALIGN=MIDDLE  ALT=\"2%2Asqrt%285%29%2At%5E4%2Asqrt%28t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the common terms \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2At%5E4%2Asqrt%28t%29%2Asqrt%285%29 ALIGN=MIDDLE  ALT=\"2%2At%5E4%2Asqrt%28t%29%2Asqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rearrange the terms \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2At%5E4%2Asqrt%285t%29 ALIGN=MIDDLE  ALT=\"2%2At%5E4%2Asqrt%285t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Group the square root terms \r<BR>\n" );
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document.write( "Check:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%283%29%5E5%29sqrt%2810%283%29%5E4%29 ALIGN=MIDDLE  ALT=\"sqrt%282%283%29%5E5%29sqrt%2810%283%29%5E4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3 ALIGN=MIDDLE  ALT=\"x=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > (any value will do)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%2A243%29sqrt%2810%2A81%29 ALIGN=MIDDLE  ALT=\"sqrt%282%2A243%29sqrt%2810%2A81%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=%2822.04540%29%2828.46049%29 ALIGN=MIDDLE  ALT=\"%2822.04540%29%2828.46049%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=627.423 ALIGN=MIDDLE  ALT=\"627.423\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now lets check our answer\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A%283%29%5E4%2Asqrt%285%283%29%29 ALIGN=MIDDLE  ALT=\"2%2A%283%29%5E4%2Asqrt%285%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3 ALIGN=MIDDLE  ALT=\"x=3\"   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=2%2A%283%29%5E4%2Asqrt%2815%29 ALIGN=MIDDLE  ALT=\"2%2A%283%29%5E4%2Asqrt%2815%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=2%2A81%2Asqrt%2815%29 ALIGN=MIDDLE  ALT=\"2%2A81%2Asqrt%2815%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=162%2Asqrt%2815%29 ALIGN=MIDDLE  ALT=\"162%2Asqrt%2815%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=162%2A3.872983 ALIGN=MIDDLE  ALT=\"162%2A3.872983\"   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=627.423 ALIGN=MIDDLE  ALT=\"627.423\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "works </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );