document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=119124>Question 119124</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the indicated root<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #87223 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=87223\">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%28121m%5E8n%5E4%29 ALIGN=MIDDLE  ALT=\"sqrt%28121m%5E8n%5E4%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=%28%28121%29%5E1m%5E8n%5E4%29%5E%281%2F2%29 ALIGN=MIDDLE  ALT=\"%28%28121%29%5E1m%5E8n%5E4%29%5E%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite the square root in exponent notation. Note: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=121 ALIGN=MIDDLE  ALT=\"121\"   DISABLED_style= \"max-width:90%; height:auto;\" > really looks like <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=121%5E1 ALIGN=MIDDLE  ALT=\"121%5E1\"   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=%28121%29%5E%281%2A%281%2F2%29%29m%5E%288%2A%281%2F2%29%29n%5E%284%2A%281%2F2%29%29 ALIGN=MIDDLE  ALT=\"%28121%29%5E%281%2A%281%2F2%29%29m%5E%288%2A%281%2F2%29%29n%5E%284%2A%281%2F2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now distribute the outer exponent <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > to each exponent in the parenthesis. Remember <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5Ey%29%5Ez=x%5E%28y%2Az%29 ALIGN=MIDDLE  ALT=\"%28x%5Ey%29%5Ez=x%5E%28y%2Az%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=%28121%29%5E%281%2F2%29m%5E%288%2F2%29n%5E%284%2F2%29 ALIGN=MIDDLE  ALT=\"%28121%29%5E%281%2F2%29m%5E%288%2F2%29n%5E%284%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now multiply the exponents\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28121%29%5E%281%2F2%29m%5E4n%5E2 ALIGN=MIDDLE  ALT=\"%28121%29%5E%281%2F2%29m%5E4n%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28121%29m%5E4n%5E2 ALIGN=MIDDLE  ALT=\"sqrt%28121%29m%5E4n%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now rewrite <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28121%29%5E%281%2F2%29 ALIGN=MIDDLE  ALT=\"%28121%29%5E%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28121%29 ALIGN=MIDDLE  ALT=\"sqrt%28121%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=11m%5E4n%5E2 ALIGN=MIDDLE  ALT=\"11m%5E4n%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the square root of 121 to get 11\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28121m%5E8n%5E4%29 ALIGN=MIDDLE  ALT=\"sqrt%28121m%5E8n%5E4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11m%5E4n%5E2 ALIGN=MIDDLE  ALT=\"11m%5E4n%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "In other words, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28121m%5E8n%5E4%29=11m%5E4n%5E2 ALIGN=MIDDLE  ALT=\"sqrt%28121m%5E8n%5E4%29=11m%5E4n%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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