document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=367074>Question 367074</A>: <I><SPAN STYLE=\"word-break: break-all;\"> My daughter is having trouble with real exponents and exponential functions in Algebra 2 could you please show me how to work this problem out. There are not enough textbooks in her class for each student to have one to bring home so therefore I have nothing to go by. Thanks. \r<BR>\n" );
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document.write( "The problem is:  {(n sqrt(6) + w sqrt (3) )}x{(n sqrt (6) - w sqrt (3) )} </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #261723 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=261723\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> {(n sqrt(6) + w sqrt (3) )}x{(n sqrt (6) - w sqrt (3) )}<BR>\n" );
document.write( "There is a formula for difference of squares<BR>\n" );
document.write( "which is (a+b)(a-b ) = a^2-b^2<BR>\n" );
document.write( "..<BR>\n" );
document.write( "in this problem<BR>\n" );
document.write( "a= nsqrt6<BR>\n" );
document.write( "b= wsqrt3<BR>\n" );
document.write( "a^2-b^2<BR>\n" );
document.write( "= (n sqrt(6))^2-(wsqrt(3)^2)<BR>\n" );
document.write( "= n^2*6-w^2*3<BR>\n" );
document.write( "=6n^2-3w^2<BR>\n" );
document.write( "=3(2n^2-w^2)<BR>\n" );
document.write( "OR<BR>\n" );
document.write( "...<BR>\n" );
document.write( "(n sqrt(6){(n sqrt (6) - w sqrt (3)+( w sqrt (3) )}{(n sqrt (6) - w sqrt (3)<BR>\n" );
document.write( "(nsqrt(6)^2-nsqrt(6)*wsqrt(3)+nsqrt(6)*wsqrt(3)-(wsqrt(3))^2<BR>\n" );
document.write( "(nsqrt(6)^2-(wsqrt(3))^2<BR>\n" );
document.write( "which is same as above when simplified<BR>\n" );
document.write( "..<BR>\n" );
document.write( "m.ananth@hotmail.ca<BR>\n" );
document.write( "...\r<BR>\n" );
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document.write( "...<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );