document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1193623>Question 1193623</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given:	<BR>\n" );
document.write( "square ABCD with diagonals DB and AC intersecting at E<BR>\n" );
document.write( "DC = 8radical 3<BR>\n" );
document.write( "Find:	DB<BR>\n" );
document.write( "simplest radical form	DB	=	<BR>\n" );
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document.write( "approximation	DB	=	<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #843631 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=843631\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> square ABCD with diagonals DB and AC intersecting at E<BR>\n" );
document.write( "DC = 8radical 3<BR>\n" );
document.write( "Find: DB<BR>\n" );
document.write( "simplest radical form DB =\r<BR>\n" );
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document.write( "approximation DB =\r<BR>\n" );
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document.write( "In triangle BCD BD^2= BC^2+BD^2  ( pythagoras theorem)\r<BR>\n" );
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document.write( "BD^2 =  (8sqrt(3))^2 +  (8sqrt(3))^2\r<BR>\n" );
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document.write( "= 2 *  (8sqrt(3))^2\r<BR>\n" );
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document.write( "= 2 *64*3\r<BR>\n" );
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document.write( "= 384\r<BR>\n" );
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document.write( "BD = sqrt(384)\r<BR>\n" );
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document.write( "= sqrt(8*8*6)\r<BR>\n" );
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document.write( "=8*2.449\r<BR>\n" );
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