document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1125364>Question 1125364</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Looking for help with the following radical, which needs to be simplified. The book does NO help in explaining how to go about it. <BR>\n" );
document.write( "^3sqrt -27y^18/81x^6\r<BR>\n" );
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document.write( "After scouring the internet I used quotient rules and broke it down as follows:\r<BR>\n" );
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document.write( "^3sqrt-27y^18 / ^3sqrt81x^6\r<BR>\n" );
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document.write( "This gave me a result of:\r<BR>\n" );
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document.write( "3y^6/3sqrt3^4x^2\r<BR>\n" );
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document.write( "Am I on the right track? Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #741703 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=741703\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Looking for help with the following radical, which needs to be simplified. The book does NO help in explaining how to go about it. <BR>\n" );
document.write( "^3sqrt -27y^18/81x^6\r<BR>\n" );
document.write( "\n" );
document.write( "After scouring the internet I used quotient rules and broke it down as follows:\r<BR>\n" );
document.write( "\n" );
document.write( "^3sqrt-27y^18 / ^3sqrt81x^6\r<BR>\n" );
document.write( "\n" );
document.write( "This gave me a result of:\r<BR>\n" );
document.write( "\n" );
document.write( "3y^6/3sqrt3^4x^2\r<BR>\n" );
document.write( "\n" );
document.write( "Am I on the right track? Thank you!<BR>\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">This is what you came up with: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y%5E6%2F3sqrt%283%5E4x%5E2%29 ALIGN=MIDDLE  ALT=\"3y%5E6%2F3sqrt%283%5E4x%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, I believe.<BR>\n" );
document.write( "If this is so, then I must say that you're NOT on the right track. Hopefully, the simplification below will steer you onto the right path.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2C+%28-+27y%5E18%29%2F%2881x%5E6%29%29 ALIGN=MIDDLE  ALT=\"root%283%2C+%28-+27y%5E18%29%2F%2881x%5E6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ========> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2C+%28%28-+3%29%5E3%28y%5E6%29%5E3%29%2F3%283%29%5E3%28x%5E2%29%5E3%29%29 ALIGN=MIDDLE  ALT=\"root%283%2C+%28%28-+3%29%5E3%28y%5E6%29%5E3%29%2F3%283%29%5E3%28x%5E2%29%5E3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ======> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2C+%28-+1%283%29%5E3%28y%5E6%29%5E3%29%2F3%283%29%5E3%28x%5E2%29%5E3%29%29 ALIGN=MIDDLE  ALT=\"root%283%2C+%28-+1%283%29%5E3%28y%5E6%29%5E3%29%2F3%283%29%5E3%28x%5E2%29%5E3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > =======> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2C+%28-+1cross%28%283%29%5E3%29%28y%5E6%29%5E3%29%2F3cross%28%283%29%5E3%29%28x%5E2%29%5E3%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > =======> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28highlight_green%28highlight%28%28y%5E6%2Fx%5E2%29root%283%2C+-+1%2F3%29%29%29%29 ALIGN=MIDDLE  ALT=\"highlight%28highlight_green%28highlight%28%28y%5E6%2Fx%5E2%29root%283%2C+-+1%2F3%29%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OR, RATIONALIZING the DENOMINATOR in the RADICAND, we get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%5E6%2Fx%5E2%29root%283%2C+-+1%2F3%29 ALIGN=MIDDLE  ALT=\"%28y%5E6%2Fx%5E2%29root%283%2C+-+1%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ===> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%5E6%2Fx%5E2%29%28root%283%2C+-+1%29%2Froot%283%2C+3%29%29 ALIGN=MIDDLE  ALT=\"%28y%5E6%2Fx%5E2%29%28root%283%2C+-+1%29%2Froot%283%2C+3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ===> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%5E6%2Fx%5E2%29%28%28-+1%29%2Froot%283%2C+3%29%29 ALIGN=MIDDLE  ALT=\"%28y%5E6%2Fx%5E2%29%28%28-+1%29%2Froot%283%2C+3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ===> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%5E6%2Fx%5E2%29+%2A+%28%28-+1%28root%283%2C+3%29%29%5E2%29%2Froot%283%2C+3%29%28root%283%2C+3%29%29%5E2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > =======> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%5E6%2Fx%5E2%29+%2A+%28%28-+1%28root%283%2C+3%29%29%5E2%29%2F%28root%283%2C+3%29%29%5E3%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > ===> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%5E6%2Fx%5E2%29+%2A+%28%28-+1%28root%283%2C+3%29%29%5E2%29%2F3%29 ALIGN=MIDDLE  ALT=\"%28y%5E6%2Fx%5E2%29+%2A+%28%28-+1%28root%283%2C+3%29%29%5E2%29%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ===> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28highlight_green%28highlight%28%28-+1%2F3%29%28y%5E6%2Fx%5E2%29+%2A+%28root%283%2C+3%29%29%5E2%29%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28highlight_green%28highlight%28%28-+y%5E6%2F%283x%5E2%29%29+%2A+%28root%283%2C+3%29%29%5E2%29%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );