document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=434807>Question 434807</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Rationalize the denominator and simplify\r<BR>\n" );
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document.write( "x^2-1/1-sqrt(x), where x is greater than 0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #301092 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=301092\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Rationalize the denominator and simplify <BR>\n" );
document.write( "x^2-1/1-sqrt(x), where x is greater than 0<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "----<BR>\n" );
document.write( "(x^2-1)/(1-sqrt(x))<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Factor:<BR>\n" );
document.write( "[(x-1)(x+1)]/[1-sqrt(x)]<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Factor:<BR>\n" );
document.write( "[(sqrt(x)-1)(sqrt(x)+1)(x+1)]/[-(sqrt(x)-1)]<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Cancel and notice the change in sign:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "= -[sqrt(x)+1)(x+1)]<BR>\n" );
document.write( "==========================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "============== </SPAN>\n" );
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