document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=59008>Question 59008</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what number is larger: a) sq rt of 7 or cube rt of 19. b) cube rt of 4 or 4th rt of 6. i really need some help with this. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #40475 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=40475\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> what number is larger: <BR>\n" );
document.write( "a) sq rt of 7 or cube rt of 19.<BR>\n" );
document.write( "7^(1/2) \"compared to\" 19^(1/3)<BR>\n" );
document.write( "Raise both to the 6th power to get:<BR>\n" );
document.write( "7^3    \"compared to\" 19^2<BR>\n" );
document.write( "343    \"compared to\" 361\"<BR>\n" );
document.write( "Since these lines can be reversed <BR>\n" );
document.write( "7^(1/2) < 19^(1/3)<BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( " b) cube rt of 4 or 4th rt of 6. <BR>\n" );
document.write( "4^(1/3) \"compared to\" 6^(1/4)<BR>\n" );
document.write( "Raise both to the 12th power to get:<BR>\n" );
document.write( "4^4  \"compared to\" 6^3<BR>\n" );
document.write( "256 \"compared to\" 216<BR>\n" );
document.write( "Therefore 4^(1/3)>6^(1/4)<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "---------<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );