document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=200828>Question 200828</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please walk me through each step in solving this problem:  \r<BR>\n" );
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document.write( " Simplify by collecting like radical terms, if possible:\r<BR>\n" );
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document.write( "     3times the cube root of y^5 + 4 times cube root of y^2 + cube root of 8y^6.<BR>\n" );
document.write( "They say the answer is (3y+4)times cube root of y^2 + 2y^2.\r<BR>\n" );
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document.write( "Sorry I cannor provide the symbol for square root. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #151086 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=151086\">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=3%2Aroot%283%2Cy%5E5%29%2B4%2Aroot%283%2Cy%5E2%29%2Broot%283%2C8y%5E6%29 ALIGN=MIDDLE  ALT=\"3%2Aroot%283%2Cy%5E5%29%2B4%2Aroot%283%2Cy%5E2%29%2Broot%283%2C8y%5E6%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=3%2Aroot%283%2Cy%5E5%29%2B4%2Aroot%283%2Cy%5E2%29%2Broot%283%2C2%5E3%2Ay%5E6%29 ALIGN=MIDDLE  ALT=\"3%2Aroot%283%2Cy%5E5%29%2B4%2Aroot%283%2Cy%5E2%29%2Broot%283%2C2%5E3%2Ay%5E6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite 8 as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E3 ALIGN=MIDDLE  ALT=\"2%5E3\"   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=3%2Aroot%283%2Cy%5E3%2Ay%5E2%29%2B4%2Aroot%283%2Cy%5E2%29%2Broot%283%2C2%5E3%2Ay%5E6%29 ALIGN=MIDDLE  ALT=\"3%2Aroot%283%2Cy%5E3%2Ay%5E2%29%2B4%2Aroot%283%2Cy%5E2%29%2Broot%283%2C2%5E3%2Ay%5E6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E5 ALIGN=MIDDLE  ALT=\"y%5E5\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E3%2Ay%5E2 ALIGN=MIDDLE  ALT=\"y%5E3%2Ay%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=3%2Aroot%283%2Cy%5E3%2Ay%5E2%29%2B4%2Aroot%283%2Cy%5E2%29%2Broot%283%2C2%5E3%2Ay%5E3%2Ay%5E3%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E6 ALIGN=MIDDLE  ALT=\"y%5E6\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E3%2Ay%5E3 ALIGN=MIDDLE  ALT=\"y%5E3%2Ay%5E3\"   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=3%2Aroot%283%2Cy%5E3%29%2Aroot%283%2Cy%5E2%29%2B4%2Aroot%283%2Cy%5E2%29%2Broot%283%2C2%5E3%29%2Aroot%283%2Cy%5E3%29%2Aroot%283%2Cy%5E3%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Break up the roots using the identity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%28n%2Cx%2Ay%29=root%28n%2Cx%29%2Aroot%28n%2Cy%29 ALIGN=MIDDLE  ALT=\"root%28n%2Cx%2Ay%29=root%28n%2Cx%29%2Aroot%28n%2Cy%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=3%2Aroot%283%2Cy%5E3%29%2Aroot%283%2Cy%5E2%29%2B4%2Aroot%283%2Cy%5E2%29%2B2%2Aroot%283%2Cy%5E3%29%2Aroot%283%2Cy%5E3%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Evaluate the cube root of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E3 ALIGN=MIDDLE  ALT=\"2%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get 2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2Ay%2Aroot%283%2Cy%5E2%29%2B4%2Aroot%283%2Cy%5E2%29%2B2%2Ay%2Ay ALIGN=MIDDLE  ALT=\"3%2Ay%2Aroot%283%2Cy%5E2%29%2B4%2Aroot%283%2Cy%5E2%29%2B2%2Ay%2Ay\"   DISABLED_style= \"max-width:90%; height:auto;\" > Evaluate the cube root of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E3 ALIGN=MIDDLE  ALT=\"y%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get \"y\"\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2Ay%2Aroot%283%2Cy%5E2%29%2B4%2Aroot%283%2Cy%5E2%29%2B2y%5E2 ALIGN=MIDDLE  ALT=\"3%2Ay%2Aroot%283%2Cy%5E2%29%2B4%2Aroot%283%2Cy%5E2%29%2B2y%5E2\"   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=%283y%2B4%29%2Aroot%283%2Cy%5E2%29%2B2y%5E2 ALIGN=MIDDLE  ALT=\"%283y%2B4%29%2Aroot%283%2Cy%5E2%29%2B2y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor out the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2Cy%5E2%29 ALIGN=MIDDLE  ALT=\"root%283%2Cy%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > from the first two terms. note: this step isn't necessary, but your book does it.\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=3%2Aroot%283%2Cy%5E5%29%2B4%2Aroot%283%2Cy%5E2%29%2Broot%283%2C8y%5E6%29 ALIGN=MIDDLE  ALT=\"3%2Aroot%283%2Cy%5E5%29%2B4%2Aroot%283%2Cy%5E2%29%2Broot%283%2C8y%5E6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283y%2B4%29%2Aroot%283%2Cy%5E2%29%2B2y%5E2 ALIGN=MIDDLE  ALT=\"%283y%2B4%29%2Aroot%283%2Cy%5E2%29%2B2y%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=3%2Aroot%283%2Cy%5E5%29%2B4%2Aroot%283%2Cy%5E2%29%2Broot%283%2C8y%5E6%29=%283y%2B4%29%2Aroot%283%2Cy%5E2%29%2B2y%5E2 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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