document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1041398>Question 1041398</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the value of m and n if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28125%5E%281%2F2%29%2B%285%2F64%29%5E%28-1%2F2%29-sqrt%285%29%2A%2825%2F16%29%5E%283%2F4%29%29%2A%282%2F%28sqrt%285%29%2B2%29%29=%282%2F5%29%28m%2Bn%2Asqrt%285%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #656375 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=656375\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the value of m and n if <BR>\n" );
document.write( "(125^(1/2)+(5/64)^(-1/2)-sqrt(5)*(25/16)^(3/4))*(2/(sqrt(5)+2)) = <BR>\n" );
document.write( "(2/5)(m+n*sqrt(5))<BR>\n" );
document.write( "========<BR>\n" );
document.write( "(5sqrt(5) + 8/sqrt(5) - sqrt(5)*sqrt(5)/2 * (2(sqrt(5)-2)/(1))<BR>\n" );
document.write( "= (2/5)(m+n*sqrt(5))<BR>\n" );
document.write( "------<BR>\n" );
document.write( "(13sqrt(5) - (5/2)*(2sqrt(5)-4) = (2/5)m + (2sqrt(5)/5)n<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "13sqrt(5) - 5sqrt(5)-10 = (2/5)m + (2/5)sqrt(5)n<BR>\n" );
document.write( "----<BR>\n" );
document.write( "8sqrt(5) - 10 = (2/5)m + (2/5)sqrt(5)n<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "(2/5)m = 10 and (2/5)sqrt(5)n = 8sqrt(5)<BR>\n" );
document.write( "m = 25 and (2/5)n = 8<BR>\n" );
document.write( "m = 25 and n = 20<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );