document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=210449>Question 210449</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321269470/algebrahomeworkh>Intoductery Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Please help me simplify:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282-%284%29%2Fz%5E2%2B%282%29%2Fz%5E4%29 ALIGN=MIDDLE  ALT=\"sqrt%282-%284%29%2Fz%5E2%2B%282%29%2Fz%5E4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #159061 by </B><A HREF=/tutors/aboutme.mpl?userid=tutor_paul><B>tutor_paul(519)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tutor_paul><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=tutor_paul><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=159061\">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=sqrt%282-%284%29%2Fz%5E2%2B%282%29%2Fz%5E4%29 ALIGN=MIDDLE  ALT=\"sqrt%282-%284%29%2Fz%5E2%2B%282%29%2Fz%5E4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Let's add together what is under the radical first. LCD=z^4.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%282z%5E4-4z%5E2%2B2%29%2Fz%5E4%29 ALIGN=MIDDLE  ALT=\"sqrt%28%282z%5E4-4z%5E2%2B2%29%2Fz%5E4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Pull out the Z^4 term in denominator:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2Fz%5E2%29sqrt%282z%5E4-4z%5E2%2B2%29 ALIGN=MIDDLE  ALT=\"%281%2Fz%5E2%29sqrt%282z%5E4-4z%5E2%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Factor out a 2:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2Fz%5E2%29sqrt%282%28z%5E4-2z%5E2%2B1%29%29 ALIGN=MIDDLE  ALT=\"%281%2Fz%5E2%29sqrt%282%28z%5E4-2z%5E2%2B1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Factor:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2Fz%5E2%29sqrt%282%28z%5E2-1%29%28z%5E2-1%29%29 ALIGN=MIDDLE  ALT=\"%281%2Fz%5E2%29sqrt%282%28z%5E2-1%29%28z%5E2-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Pull out the z^2-1 term:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28z%5E2-1%29%2Fz%5E2%29sqrt%282%29 ALIGN=MIDDLE  ALT=\"%28%28z%5E2-1%29%2Fz%5E2%29sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I think this is about as far as you can go.<BR>\n" );
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document.write( "Good Luck,<BR>\n" );
document.write( "tutor_paul@yahoo.com </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );