document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=30922>Question 30922</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0073016020/algebrahomeworkh>Beginning Algebra w/MathZone</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Hi, I'm having trouble trying to simplify this radical expression<BR>\n" );
document.write( "the square root of 24a to the 3rd power. Please help thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #17671 by </B><A HREF=/tutors/aboutme.mpl?userid=acerX><B>acerX(62)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=acerX><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=17671\">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%28%2824a%29%5E3%29 ALIGN=MIDDLE  ALT=\"sqrt%28%2824a%29%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "A square root is the same as raising a number to the <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;\" > power,<BR>\n" );
document.write( "ex <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28r%29 ALIGN=MIDDLE  ALT=\"sqrt%28r%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > equals <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E%281%2F2%29 ALIGN=MIDDLE  ALT=\"r%5E%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "ex <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283x%29 ALIGN=MIDDLE  ALT=\"sqrt%283x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > equals <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%29%5E%281%2F2%29 ALIGN=MIDDLE  ALT=\"%283x%29%5E%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%2824a%29%5E3%29 ALIGN=MIDDLE  ALT=\"sqrt%28%2824a%29%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > can be written as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2824a%29%5E3%29%5E%281%2F2%29 ALIGN=MIDDLE  ALT=\"%28%2824a%29%5E3%29%5E%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "when you raise a power to a power you multiply the powers,\r<BR>\n" );
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document.write( "ex) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E3%29%5E%281%2F2%29 ALIGN=MIDDLE  ALT=\"%28x%5E3%29%5E%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > we do <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A%281%2F2%29=3%2F2 ALIGN=MIDDLE  ALT=\"3%2A%281%2F2%29=3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > so the expression would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E%283%2F2%29 ALIGN=MIDDLE  ALT=\"x%5E%283%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so your question <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2824a%29%5E%283%2F2%29 ALIGN=MIDDLE  ALT=\"%2824a%29%5E%283%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the simplified answer </SPAN>\n" );
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