document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=824392>Question 824392</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need detail solution:<BR>\n" );
document.write( "A = ( <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%29 ALIGN=MIDDLE  ALT=\"sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283%29 ALIGN=MIDDLE  ALT=\"sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%285%29 ALIGN=MIDDLE  ALT=\"sqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >)( <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%29 ALIGN=MIDDLE  ALT=\"sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > &#8722; <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283%29 ALIGN=MIDDLE  ALT=\"sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%285%29 ALIGN=MIDDLE  ALT=\"sqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >) and B = ( <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%29 ALIGN=MIDDLE  ALT=\"sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283%29 ALIGN=MIDDLE  ALT=\"sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > &#8722; <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%285%29 ALIGN=MIDDLE  ALT=\"sqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >)(&#8722;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt+%282%29 ALIGN=MIDDLE  ALT=\"sqrt+%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283%29 ALIGN=MIDDLE  ALT=\"sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%285%29 ALIGN=MIDDLE  ALT=\"sqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >) find C=AB\r<BR>\n" );
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document.write( "(In the \"A\" I've got 4-2<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2815%29 ALIGN=MIDDLE  ALT=\"sqrt%2815%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, but I can't solve B) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #854691 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3838)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=854691\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D+=+sqrt%282%29%2Bsqrt%283%29 ALIGN=MIDDLE  ALT=\"D+=+sqrt%282%29%2Bsqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=E+=+sqrt%282%29-sqrt%283%29 ALIGN=MIDDLE  ALT=\"E+=+sqrt%282%29-sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > so they can be used in a substitution step.\r<BR>\n" );
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document.write( "This means <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+%28+sqrt%282%29%2Bsqrt%283%29%2Bsqrt%285%29+%29%28+sqrt%282%29-sqrt%283%29%2Bsqrt%285%29+%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "condenses temporarily to<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+%28+D%2Bsqrt%285%29+%29%28+E%2Bsqrt%285%29+%29 ALIGN=MIDDLE  ALT=\"A+=+%28+D%2Bsqrt%285%29+%29%28+E%2Bsqrt%285%29+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Meanwhile <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B+=+%28+sqrt%282%29%2Bsqrt%283%29-sqrt%285%29+%29%28+-sqrt%282%29%2Bsqrt%283%29%2Bsqrt%285%29+%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "shortens to<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B+=+%28+D-sqrt%285%29+%29%28+-E%2Bsqrt%285%29+%29 ALIGN=MIDDLE  ALT=\"B+=+%28+D-sqrt%285%29+%29%28+-E%2Bsqrt%285%29+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B+=+-%28+D-sqrt%285%29+%29%28+E-sqrt%285%29+%29 ALIGN=MIDDLE  ALT=\"B+=+-%28+D-sqrt%285%29+%29%28+E-sqrt%285%29+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "after rearranging a few negative signs.\r<BR>\n" );
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document.write( "Then,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AB+=+%0D%0A-%28D%2Bsqrt%285%29%29%28E%2Bsqrt%285%29%29%0D%0A%28D-sqrt%285%29%29%28E-sqrt%285%29%29%0D%0A ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AB+=+%0D%0A-%28D%2Bsqrt%285%29%29%28D-sqrt%285%29%29%0D%0A%28E%2Bsqrt%285%29%29%28E-sqrt%285%29%29%0D%0A ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AB+=+-%28D%5E2-5%29%28E%5E2-5%29 ALIGN=MIDDLE  ALT=\"AB+=+-%28D%5E2-5%29%28E%5E2-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use the difference of squares rule.\r<BR>\n" );
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document.write( "For a moment I'll put this main computation on pause.<BR>\n" );
document.write( "Let's take a slight detour.\r<BR>\n" );
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document.write( "I'll rewrite one of the factors shown above.<BR>\n" );
document.write( "I'll start with D and work my way up to D^2-5.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D+=+sqrt%282%29%2Bsqrt%283%29 ALIGN=MIDDLE  ALT=\"D+=+sqrt%282%29%2Bsqrt%283%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+=+%28sqrt%282%29%2Bsqrt%283%29%29%5E2 ALIGN=MIDDLE  ALT=\"D%5E2+=+%28sqrt%282%29%2Bsqrt%283%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+=+%28sqrt%282%29%29%5E2%2B2%2Asqrt%282%29%2Asqrt%283%29%2B%28sqrt%283%29%29%5E2 ALIGN=MIDDLE  ALT=\"D%5E2+=+%28sqrt%282%29%29%5E2%2B2%2Asqrt%282%29%2Asqrt%283%29%2B%28sqrt%283%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+=+2%2B2%2Asqrt%282%2A3%29%2B3 ALIGN=MIDDLE  ALT=\"D%5E2+=+2%2B2%2Asqrt%282%2A3%29%2B3\"   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+=+5%2B2%2Asqrt%286%29 ALIGN=MIDDLE  ALT=\"D%5E2+=+5%2B2%2Asqrt%286%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%5E2-5+=+5%2B2%2Asqrt%286%29-5 ALIGN=MIDDLE  ALT=\"D%5E2-5+=+5%2B2%2Asqrt%286%29-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5E2-5+=+2%2Asqrt%286%29 ALIGN=MIDDLE  ALT=\"D%5E2-5+=+2%2Asqrt%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Through very similar scratch work, you should have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=E+=+sqrt%282%29-sqrt%283%29 ALIGN=MIDDLE  ALT=\"E+=+sqrt%282%29-sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > become <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=E%5E2-5+=+-2%2Asqrt%286%29 ALIGN=MIDDLE  ALT=\"E%5E2-5+=+-2%2Asqrt%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now returning to the main event.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AB+=+-%28D%5E2-5%29%28E%5E2-5%29 ALIGN=MIDDLE  ALT=\"AB+=+-%28D%5E2-5%29%28E%5E2-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AB+=+-%282%2Asqrt%286%29%29%28-2%2Asqrt%286%29%29 ALIGN=MIDDLE  ALT=\"AB+=+-%282%2Asqrt%286%29%29%28-2%2Asqrt%286%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AB+=+-2%2A%28-2%29%2Asqrt%286%29%2Asqrt%286%29 ALIGN=MIDDLE  ALT=\"AB+=+-2%2A%28-2%29%2Asqrt%286%29%2Asqrt%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AB+=+4%2Asqrt%286%2A6%29 ALIGN=MIDDLE  ALT=\"AB+=+4%2Asqrt%286%2A6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AB+=+4%2Asqrt%286%5E2%29 ALIGN=MIDDLE  ALT=\"AB+=+4%2Asqrt%286%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AB+=+4%2A6 ALIGN=MIDDLE  ALT=\"AB+=+4%2A6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AB+=+24 ALIGN=MIDDLE  ALT=\"AB+=+24\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I used GeoGebra to verify the answer is correct. <BR>\n" );
document.write( "Another tool you could use is WolframAlpha.<BR>\n" );
document.write( "</font> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );