document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=724418>Question 724418</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help on figuring out how to remove the radical from the denominator. <BR>\n" );
document.write( "The problem I have is: <BR>\n" );
document.write( "The 5th root of s to the power of 10 over the 5th root of t to the power of 20. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #443767 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=443767\">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%285%2Cs%5E10%29=root%285%2Cs%5E%282%2A5%29%29=root%285%2C%28s%5E2%29%5E5%29=s%5E2 ALIGN=MIDDLE  ALT=\"root%285%2Cs%5E10%29=root%285%2Cs%5E%282%2A5%29%29=root%285%2C%28s%5E2%29%5E5%29=s%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%285%2Cs%5E20%29=root%285%2Cs%5E%284%2A5%29%29=root%285%2C%28s%5E4%29%5E5%29=s%5E4 ALIGN=MIDDLE  ALT=\"root%285%2Cs%5E20%29=root%285%2Cs%5E%284%2A5%29%29=root%285%2C%28s%5E4%29%5E5%29=s%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%285%2Cs%5E10%29%2Froot%285%2Cs%5E20%29=s%5E2%2Fs%5E4=1%2Fs%5E2 ALIGN=MIDDLE  ALT=\"root%285%2Cs%5E10%29%2Froot%285%2Cs%5E20%29=s%5E2%2Fs%5E4=1%2Fs%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "You did not need to do anything eliminate to remove the radical from the denominator in this case.<BR>\n" );
document.write( "Also quotients of roots of the same index equal the root of the quotient, as in<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%285%2Cs%5E10%29%2Froot%285%2Cs%5E20%29=root%285%2C%28s%5E10%2Fs%5E20%29%29=root%285%2C%281%2Fs%5E10%29%29=1%2Froot%285%2Cs%5E10%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "which would not help that much in this case, but could help in other cases.<BR>\n" );
document.write( " <BR>\n" );
document.write( "If you really have to get rid of a single radical in the denominator, multiply numerator and denominator times another radical, such that the product will simplify, as in<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fsqrt%282%29=1%2Asqrt%282%29%2Fsqrt%282%29%2Fsqrt%282%29=sqrt%282%29%2Fsqrt%282%2A2%29=sqrt%282%29%2Fsqrt%282%5E2%29=sqrt%282%29%2F2 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Froot%287%2Cx%5E3%29=1%2Aroot%287%2Cx%5E4%29%2Froot%287%2Cx%5E3%29%2Froot%287%2Cx%5E4%29=root%287%2Cx%5E4%29%2Froot%287%2Cx%5E3%2Ax%5E4%29=root%287%2Cx%5E4%29%2Froot%287%2Cx%5E7%29=root%287%2Cx%5E4%29%2Fx ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );