document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=973570>Question 973570</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi,\r<BR>\n" );
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document.write( "Well I've run into a problem that I can't really do.\r<BR>\n" );
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document.write( "The question is to rationalise 1/(cube root 2 - 1). The answer is cube root 2 + cube root 4 + 1. I know how to rationalise 1/cube root 2 but I'm not sure how to do this one. What I got is:\r<BR>\n" );
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document.write( "1/cube root 2-1=1/cube root 2-1 * (cube root 2^2 + 1)/(cube root 2^2 + 1)\r<BR>\n" );
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document.write( "And I've so on and so forth, but I didn't get the right answer. I got cube root 4 + 1.\r<BR>\n" );
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document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #853958 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13325)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=853958\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Use this factoring pattern:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E3-b%5E3=%28a-b%29%28a%5E2%2Bab%2Bb%5E2%29 ALIGN=MIDDLE  ALT=\"a%5E3-b%5E3=%28a-b%29%28a%5E2%2Bab%2Bb%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "With <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=root%283%2C2%29 ALIGN=MIDDLE  ALT=\"a=root%283%2C2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=1 ALIGN=MIDDLE  ALT=\"b=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, this becomes<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2-1=%28root%283%2C2%29-1%29%28root%283%2C4%29%2Broot%283%2C2%29%2B1%29 ALIGN=MIDDLE  ALT=\"2-1=%28root%283%2C2%29-1%29%28root%283%2C4%29%2Broot%283%2C2%29%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Your expression is<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Froot%283%2C2%29 ALIGN=MIDDLE  ALT=\"1%2Froot%283%2C2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "To rationalize the denominator, you need to multiply numerator and denominator by<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28root%283%2C4%29%2Broot%283%2C2%29%2B1%29 ALIGN=MIDDLE  ALT=\"%28root%283%2C4%29%2Broot%283%2C2%29%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Then<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2Froot%283%2C2%29%29%28%28root%283%2C4%29%2Broot%283%2C2%29%2B1%29%2F%28root%283%2C4%29%2Broot%283%2C2%29%2B1%29%29=%28root%283%2C4%29%2Broot%283%2C2%29%2B1%29%2F%282-1%29=%28root%283%2C4%29%2Broot%283%2C2%29%2B1%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "... which is the answer you say you are supposed to get<br><BR>\n" );
document.write( " </SPAN>\n" );
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