document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1192198>Question 1192198</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rectangle has sides of length (2+ √18)metre and (5-4/√2)metres. Express in the form a + b√2,where a and b are integers.<BR>\n" );
document.write( "(i) the value of A, where A square metres is the area of the rectangle.<BR>\n" );
document.write( "(ii) the value of D^2, where D metres is the length of the diagonal of the rectangle. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #824111 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=824111\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A rectangle has sides of length (2+ √18)metre and (5-4/√2)metres.<BR>\n" );
document.write( "If you mean <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5+-+4%2Fsqrt%282%29 ALIGN=MIDDLE  ALT=\"5+-+4%2Fsqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5+-+4%2Fsqrt%282%29+=+5+-+2sqrt%282%29 ALIGN=MIDDLE  ALT=\"5+-+4%2Fsqrt%282%29+=+5+-+2sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Express in the form a + b√2,where a and b are integers.<BR>\n" );
document.write( "(i) the value of A, where A square metres is the area of the rectangle.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Area+=+%282+%2B+3sqrt%282%29%29%2A%285+-+2sqrt%282%29%29+=+10+%2B+11sqrt%282%29+-+12+=+-2+%2B+11sqrt%282%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "============================<BR>\n" );
document.write( "(ii) the value of D^2, where D metres is the length of the diagonal of the rectangle.<BR>\n" );
document.write( "D^2 = (2+ √18)^2 + (5-4/√2)^2 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2B+3sqrt%282%29%29%5E2+%2B+%285-2sqrt%282%29%29%5E2 ALIGN=MIDDLE  ALT=\"%282%2B+3sqrt%282%29%29%5E2+%2B+%285-2sqrt%282%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5E2+=+%284+%2B+12sqrt%282%29+%2B+18%29+%2B+%2825+-20sqrt%282%29+%2B+8%29 ALIGN=MIDDLE  ALT=\"D%5E2+=+%284+%2B+12sqrt%282%29+%2B+18%29+%2B+%2825+-20sqrt%282%29+%2B+8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5E2+=+55+-+8sqrt%282%29 ALIGN=MIDDLE  ALT=\"D%5E2+=+55+-+8sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );