document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=201289>Question 201289</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The ratio of the areas of two squares is 6:1. find the corresponding ratio of the lengths of the diagonals of the two squares ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #151513 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=151513\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B1%5D ALIGN=MIDDLE  ALT=\"A%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the area of the larger square<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B2%5D ALIGN=MIDDLE  ALT=\"A%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the area of the smaller square<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the side of the larger square<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the side of the smaller square<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B1%5D+%2F+A%5B2%5D+=+6+%2F+1 ALIGN=MIDDLE  ALT=\"A%5B1%5D+%2F+A%5B2%5D+=+6+%2F+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B1%5D+=+x%5E2 ALIGN=MIDDLE  ALT=\"A%5B1%5D+=+x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > definition<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B2%5D+=+y%5E2 ALIGN=MIDDLE  ALT=\"A%5B2%5D+=+y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > definition<BR>\n" );
document.write( "Substituting:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2F+y%5E2+=+6+%2F+1 ALIGN=MIDDLE  ALT=\"x%5E2+%2F+y%5E2+=+6+%2F+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Take the square roots of both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2F+y+=+sqrt%286%29+%2F+1 ALIGN=MIDDLE  ALT=\"x+%2F+y+=+sqrt%286%29+%2F+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Also by definition,<BR>\n" );
document.write( "larger diagonal = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%29%2Ax ALIGN=MIDDLE  ALT=\"sqrt%282%29%2Ax\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Smaller diagonal = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%29%2Ay ALIGN=MIDDLE  ALT=\"sqrt%282%29%2Ay\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "larger diagonal / smaller diagonal = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%282%29%2Ax%29+%2F+%28sqrt%282%29%2Ay%29 ALIGN=MIDDLE  ALT=\"%28sqrt%282%29%2Ax%29+%2F+%28sqrt%282%29%2Ay%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "larger diagonal / smaller diagonal = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Fy ALIGN=MIDDLE  ALT=\"x%2Fy\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "larger diagonal / smaller diagonal = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%286%29%2F1 ALIGN=MIDDLE  ALT=\"sqrt%286%29%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" > answer   </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );