document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=568687>Question 568687</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please Help. I'm horrible with radicals!<BR>\n" );
document.write( "Simplify each radical expression. Use absolute value symbols when needed.\r<BR>\n" );
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document.write( "1.) &#8731;-27x^6\r<BR>\n" );
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document.write( "2.) &#8730;a^4b^2\r<BR>\n" );
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document.write( "3.) 5th root&#8730;-32s^15t^10\r<BR>\n" );
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document.write( "4.) &#8732;256y^8\r<BR>\n" );
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document.write( "5.) (2-&#8730;5)(2+&#8730;5)\r<BR>\n" );
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document.write( "6.) &#8730;48a^5b / &#8730;12ab\r<BR>\n" );
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document.write( "7.) &#8730;5(2&#8730;45-&#8730;5)\r<BR>\n" );
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document.write( "8.) 7/1-&#8730;3\r<BR>\n" );
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document.write( "9.) 5&#8730;32-7&#8730;8\r<BR>\n" );
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document.write( "10.) 2&#8730;15xy^3 x 3&#8730;30x^3y^2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #367140 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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/cgi-bin/show-face.mpl?user=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=367140\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hopefully, what I could interpret from your posting is what you meant <BR>\n" );
document.write( "1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2C-27x%5E6%29 ALIGN=MIDDLE  ALT=\"root%283%2C-27x%5E6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-3%29%5E3=-27 ALIGN=MIDDLE  ALT=\"%28-3%29%5E3=-27\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%29%5E3=x%5E%282%2A3%29=x%5E6 ALIGN=MIDDLE  ALT=\"%28x%5E2%29%5E3=x%5E%282%2A3%29=x%5E6\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2C-27x%5E6%29 ALIGN=MIDDLE  ALT=\"root%283%2C-27x%5E6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2C%28-3%29%5E3%28x%5E2%29%5E3%29 ALIGN=MIDDLE  ALT=\"root%283%2C%28-3%29%5E3%28x%5E2%29%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2C%28-3x%5E2%29%5E3%29 ALIGN=MIDDLE  ALT=\"root%283%2C%28-3x%5E2%29%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3x%5E2 ALIGN=MIDDLE  ALT=\"-3x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28a%5E4b%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28a%5E4b%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28a%5E2%29%5E2%2Ab%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28a%5E2%29%5E2%2Ab%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28a%5E2%29%5E2%29%2Asqrt%28b%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28a%5E2%29%5E2%29%2Asqrt%28b%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2abs%28b%29 ALIGN=MIDDLE  ALT=\"a%5E2abs%28b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > because <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28b%5E2%29=abs%28b%29 ALIGN=MIDDLE  ALT=\"sqrt%28b%5E2%29=abs%28b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Example:<BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=5 ALIGN=MIDDLE  ALT=\"b=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%285%5E2%29=sqrt%2825%29=5=b ALIGN=MIDDLE  ALT=\"sqrt%285%5E2%29=sqrt%2825%29=5=b\"   DISABLED_style= \"max-width:90%; height:auto;\" >, but<BR>\n" );
document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=-5 ALIGN=MIDDLE  ALT=\"b=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28-5%29%5E2%29=sqrt%2825%29=5=abs%28-5%29=abs%28b%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28-5%29%5E2%29=sqrt%2825%29=5=abs%28-5%29=abs%28b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%285%2C-32s%5E15t%5E10%29 ALIGN=MIDDLE  ALT=\"root%285%2C-32s%5E15t%5E10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-2%29%5E5=-32 ALIGN=MIDDLE  ALT=\"%28-2%29%5E5=-32\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28s%5E3%29%5E5=s%5E%283%2A5%29=s%5E15 ALIGN=MIDDLE  ALT=\"%28s%5E3%29%5E5=s%5E%283%2A5%29=s%5E15\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28t%5E2%29%5E5=t%5E%282%2A5%29=t%5E10 ALIGN=MIDDLE  ALT=\"%28t%5E2%29%5E5=t%5E%282%2A5%29=t%5E10\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%285%2C-32s%5E15t%5E10%29 ALIGN=MIDDLE  ALT=\"root%285%2C-32s%5E15t%5E10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%285%2C%28-2%5E5%29%28s%5E3%29%5E5%28t%5E2%29%5E5%29 ALIGN=MIDDLE  ALT=\"root%285%2C%28-2%5E5%29%28s%5E3%29%5E5%28t%5E2%29%5E5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%285%2C%28-2s%5E3t%5E2%29%5E5%29 ALIGN=MIDDLE  ALT=\"root%285%2C%28-2s%5E3t%5E2%29%5E5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2s%5E3t%5E2 ALIGN=MIDDLE  ALT=\"-2s%5E3t%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "4) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%284%2C256y%5E8%29 ALIGN=MIDDLE  ALT=\"root%284%2C256y%5E8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%284%2C2%5E8y%5E8%29 ALIGN=MIDDLE  ALT=\"root%284%2C2%5E8y%5E8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%284%2C2%5E8%29%2Aroot%284%2Cy%5E8%29 ALIGN=MIDDLE  ALT=\"root%284%2C2%5E8%29%2Aroot%284%2Cy%5E8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%284%2C%282%5E2%29%5E4%29%2Aroot%284%2C%28y%5E2%29%5E4%29 ALIGN=MIDDLE  ALT=\"root%284%2C%282%5E2%29%5E4%29%2Aroot%284%2C%28y%5E2%29%5E4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E2y%5E2 ALIGN=MIDDLE  ALT=\"2%5E2y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4y%5E2 ALIGN=MIDDLE  ALT=\"4y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "5) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282-sqrt%285%29%29%282%2Bsqrt%285%29%29 ALIGN=MIDDLE  ALT=\"%282-sqrt%285%29%29%282%2Bsqrt%285%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E2-%28sqrt%285%29%29%5E2%29 ALIGN=MIDDLE  ALT=\"2%5E2-%28sqrt%285%29%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4-5=-1 ALIGN=MIDDLE  ALT=\"4-5=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "6) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2848a%5E5b%29%2Fsqrt%2812ab%29=sqrt%2848a%5E5b%2F%2812ab%29%29=sqrt%28%2848%2F12%29%28a%5E5%2Fa%29%28b%2Fb%29%29+=sqrt%284a%5E4%29=sqrt%284%29%2Asqrt%28a%5E4%29=2a%5E2 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "7) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%285%29%282sqrt%2845%29-sqrt%285%29%29=2%2Asqrt%285%29%2Asqrt%2845%29-sqrt%285%29%2Asqrt%285%29=2%2Asqrt%285%2A45%29-5=2sqrt%28225%29-5=2%2A15-5=30-5=25 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "8) 7/<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281-sqrt%283%29%29=7%2F%281-sqrt%283%29%29=%0D%0A%287%2F%281-sqrt%283%29%29%29%28%281%2Bsqrt%283%29%29%2F%281%2Bsqrt%283%29%29%29=+7%281%2Bsqrt%283%29%29%2F%28%281-sqrt%283%29%29%281%2Bsqrt%283%29%29%29=%287%2B7sqrt%283%29%29%2F%281%5E2-%28sqrt%283%29%29%5E2%29=%287%2B7sqrt%283%29%29%2F%281-3%29=%287%2B7sqrt%283%29%29%2F%28-2%29=-7%2F2-7sqrt%283%29%2F2 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "9) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5sqrt%2832%29-7sqrt%288%29=5sqrt%284%2A8%29-7sqrt%288%29=5%2Asqrt%284%29%2Asqrt%288%29-7%2Asqrt%288%29=+5%2A2%2Asqrt%288%29-7%2Asqrt%288%29=10sqrt%288%29-7sqrt%288%29=3sqrt%288%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You can simplify it further:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3sqrt%288%29=3sqrt%284%2A2%29=3%2Asqrt%284%29%2Asqrt%282%29=6%2A2sqrt%282%29=6sqrt%282%29 ALIGN=MIDDLE  ALT=\"3sqrt%288%29=3sqrt%284%2A2%29=3%2Asqrt%284%29%2Asqrt%282%29=6%2A2sqrt%282%29=6sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >                       <BR>\n" );
document.write( "10) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2sqrt%2815xy%5E3%29%2A3sqrt%2830x%5E3y%5E2%29=2%2A3%2Asqrt%2815xy%5E3%29%2Asqrt%2830x%5E3y%5E2%29=6sqrt%28%2815xy%5E3%29%2A%2830x%5E3y%5E2%29%29=6sqrt%28450x%5E4y%5E5%29=6%2Asqrt%28450%29%2Asqrt%28x%5E4%29%2Asqrt%28y%5E5%29=6%2Asqrt%28225%2A2%29%2Ax%5E2%2Asqrt%28y%5E4y%29=6sqrt%28225%29sqrt%282%29x%5E2sqrt%28y%5E4%29sqrt%28y%29=6%2A15%2Asqrt%282%29x%5E2y%5E2sqrt%28y%29=90x%5E2y%5E2sqrt%282%29sqrt%28x%29sqrt%28y%29=90x%5E2y%5E2sqrt%282xy%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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