document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=73436>Question 73436</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How can I solve 2 square root of 7t times square root of 14t?  I came out with 2 square root of 98t squared, then 2 square root of 49 times 2t squared followed by 2 times 7 square root of 2.  My answer was 14t square root of 2.  Is this correct?  I don't know how to write out the problem, I hope this is okay. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #52553 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=52553\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Asqrt%287t%29%2Asqrt%2814t%29 ALIGN=MIDDLE  ALT=\"2%2Asqrt%287t%29%2Asqrt%2814t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Simplify this.<BR>\n" );
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document.write( "Let's see if your answer is correct.<BR>\n" );
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document.write( "One way to do this is to use the rule: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28a%2Ab%29+=+sqrt%28a%29%2Asqrt%28b%29 ALIGN=MIDDLE  ALT=\"sqrt%28a%2Ab%29+=+sqrt%28a%29%2Asqrt%28b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Applying this rule to 7t leads to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%287t%29+=+sqrt%287%29%2Asqrt%28t%29 ALIGN=MIDDLE  ALT=\"sqrt%287t%29+=+sqrt%287%29%2Asqrt%28t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Then apply this rule twice to 14t to get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2814t%29+=+sqrt%282%2A7%29%2A+sqrt%28t%29+=+sqrt%282%29%2Asqrt%287%29%2Asqrt%28t%29 ALIGN=MIDDLE  ALT=\"sqrt%2814t%29+=+sqrt%282%2A7%29%2A+sqrt%28t%29+=+sqrt%282%29%2Asqrt%287%29%2Asqrt%28t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Now substitute for sqrt(7t) and sqrt(14t) in the original problem to get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Asqrt%287%29%2Asqrt%28t%29%2Asqrt%282%29%2Asqrt%287%29%2Asqrt%28t%29 ALIGN=MIDDLE  ALT=\"2%2Asqrt%287%29%2Asqrt%28t%29%2Asqrt%282%29%2Asqrt%287%29%2Asqrt%28t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "In this string we have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%287%29%2Asqrt%287%29 ALIGN=MIDDLE  ALT=\"sqrt%287%29%2Asqrt%287%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and that equals <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7 ALIGN=MIDDLE  ALT=\"7\"   DISABLED_style= \"max-width:90%; height:auto;\" >. We also have <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28t%29%2Asqrt%28t%29 ALIGN=MIDDLE  ALT=\"sqrt%28t%29%2Asqrt%28t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and that equals <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" >. The rest of the terms remain unchanged.<BR>\n" );
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document.write( "So, after substituting <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7 ALIGN=MIDDLE  ALT=\"7\"   DISABLED_style= \"max-width:90%; height:auto;\" > the problem reduces to:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A7%2At%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"2%2A7%2At%2Asqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "which further simplifies to:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14%2At%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"14%2At%2Asqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
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document.write( "You might want to change it to have the variable last. If you do the answer is:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2814%2Asqrt%282%29%29%2At ALIGN=MIDDLE  ALT=\"%2814%2Asqrt%282%29%29%2At\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "But there's nothing wrong with your answer.  Another good job! </SPAN>\n" );
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