document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=585272>Question 585272</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Rationalize the denominator and simplify.<BR>\n" );
document.write( " 12<BR>\n" );
document.write( "----<BR>\n" );
document.write( "&#8730;7+2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #373255 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=373255\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Rationalize the denominator and simplify.<BR>\n" );
document.write( "12<BR>\n" );
document.write( "----<BR>\n" );
document.write( "&#8730;7+2<BR>\n" );
document.write( "**<BR>\n" );
document.write( "12/(&#8730;7+2)<BR>\n" );
document.write( "multiply top and bottom by the conjugate (&#8730;7-2) of the denominator<BR>\n" );
document.write( "12(&#8730;7-2)/(&#8730;7+2)(&#8730;7-2)<BR>\n" );
document.write( "(12&#8730;7-24)/(7-4)<BR>\n" );
document.write( "(12&#8730;7-24)/(3)<BR>\n" );
document.write( "4&#8730;7-8<BR>\n" );
document.write( "..<BR>\n" );
document.write( "note:(7-4)=(&#8730;7^2-2^2)=(&#8730;7+2)(&#8730;7-2)=difference of two squares<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );