document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=193112>Question 193112</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify:<BR>\n" );
document.write( "3rd order radical of 432x^8 (instead of square root it is the cube root)\r<BR>\n" );
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document.write( "How is this simplified.<BR>\n" );
document.write( "is this how you set it up:\r<BR>\n" );
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document.write( "3 over the SR of 423x^8  ?\r<BR>\n" );
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document.write( "I am not really sue where to go from here. Do I find the cube root of 423 first the  mulitiply by  power of 8 or the other way around?\r<BR>\n" );
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document.write( "thank very much for all your help on this.\r<BR>\n" );
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document.write( "this prolbem is from an online homework problem. it is not out of a book. I am currently in a Algebra II class on Univeristy Of Phoenix.\r<BR>\n" );
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document.write( "thank you<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 #144950 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=144950\">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=root%283%2C432x%5E8%29 ALIGN=MIDDLE  ALT=\"root%283%2C432x%5E8%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=root%283%2C216%2A2x%5E8%29 ALIGN=MIDDLE  ALT=\"root%283%2C216%2A2x%5E8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor 432 into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=216%2A2 ALIGN=MIDDLE  ALT=\"216%2A2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Note: 216 is a perfect cube\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2C216%2A2%2Ax%5E3%2Ax%5E3%2Ax%5E2%29 ALIGN=MIDDLE  ALT=\"root%283%2C216%2A2%2Ax%5E3%2Ax%5E3%2Ax%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E8 ALIGN=MIDDLE  ALT=\"x%5E8\"   DISABLED_style= \"max-width:90%; height:auto;\" > into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3%2Ax%5E3%2Ax%5E2 ALIGN=MIDDLE  ALT=\"x%5E3%2Ax%5E3%2Ax%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=root%283%2C216%29%2Aroot%283%2C2%29%2Aroot%283%2Cx%5E3%29%2Aroot%283%2Cx%5E3%29%2Aroot%283%2Cx%5E2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Break up the root.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Aroot%283%2C2%29%2Aroot%283%2Cx%5E3%29%2Aroot%283%2Cx%5E3%29%2Aroot%283%2Cx%5E2%29 ALIGN=MIDDLE  ALT=\"6%2Aroot%283%2C2%29%2Aroot%283%2Cx%5E3%29%2Aroot%283%2Cx%5E3%29%2Aroot%283%2Cx%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the cube root of 216 to get 6\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Aroot%283%2C2%29%2Ax%2Ax%2Aroot%283%2Cx%5E2%29 ALIGN=MIDDLE  ALT=\"6%2Aroot%283%2C2%29%2Ax%2Ax%2Aroot%283%2Cx%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the cube root of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3 ALIGN=MIDDLE  ALT=\"x%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   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=6x%5E2%2Aroot%283%2C2x%5E2%29 ALIGN=MIDDLE  ALT=\"6x%5E2%2Aroot%283%2C2x%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rearrange the terms and multiply \r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2C432x%5E8%29=6x%5E2%2Aroot%283%2C2x%5E2%29 ALIGN=MIDDLE  ALT=\"root%283%2C432x%5E8%29=6x%5E2%2Aroot%283%2C2x%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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