document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=178268>Question 178268</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395977258/algebrahomeworkh>Algebra and Trigonometry Structure and Method book 2</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I have been struggling to figure out this math problem and I was wondering if someone could help me? Please and Thank You!! I would deeply appreciate it!!\r<BR>\n" );
document.write( "\n" );
document.write( "Binomials Containing Radicals<BR>\n" );
document.write( "Simplify. Assume that each radical represents a real number.<BR>\n" );
document.write( "(&#8730;(n+1) +&#8730;n)( &#8730;(n+1) -&#8730;n) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #133228 by </B><A HREF=/tutors/aboutme.mpl?userid=EMStelley><B>EMStelley(208)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=EMStelley><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=EMStelley><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=133228\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If you remember, when you are multiplying two binomials, you can use a mind trick called FOIL (first, outside, inside, last).  Just in case you haven't heard this before, it means multiply the two first terms of each binomial, then the two outside terms, then the two inside terms, and finally, the two last terms.  So, for<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%28n%2B1%29%2Bsqrt%28n%29%29%28sqrt%28n%2B1%29-sqrt%28n%29%29 ALIGN=MIDDLE  ALT=\"%28sqrt%28n%2B1%29%2Bsqrt%28n%29%29%28sqrt%28n%2B1%29-sqrt%28n%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So, once we FOIL, we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28n%2B1%29sqrt%28n%2B1%29+-+sqrt%28n%2B1%29sqrt%28n%29+%2B+sqrt%28n%29sqrt%28n%2B1%29+-sqrt%28n%29sqrt%28n%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now, simplifying (remember that sqrt(x)sqrt(x)=x) we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%2B1-n ALIGN=MIDDLE  ALT=\"n%2B1-n\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So, oddly enough, that entire expression simplifies to just 1.  Doesn't that just annoy you? :) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );