document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1072737>Question 1072737</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For this question, please show work so I can get a better understanding. <BR>\n" );
document.write( "What is the exact irrational root written in simplified radical form, and the approximate root rounded to the nearest hundredth? Thanks.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+m%2F2-sqrt%285%29=3+ ALIGN=MIDDLE  ALT=\"+m%2F2-sqrt%285%29=3+\"   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 #687577 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=687577\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (m/2)-3=sqrt (5)<BR>\n" );
document.write( "square both sides<BR>\n" );
document.write( "(m^2/4)-3m+9=5<BR>\n" );
document.write( "(m^2/4)-3m+4=0 <BR>\n" );
document.write( "multiply both sides by 4<BR>\n" );
document.write( "m^2-12m+16=0<BR>\n" );
document.write( "m=(1/2)(12+/- sqrt (144-64); sqrt (80)=8.94<BR>\n" );
document.write( "m=20.94/2=10.47<BR>\n" );
document.write( "m=3.06/2=1.53<BR>\n" );
document.write( "Check<BR>\n" );
document.write( "5.235-2.236=0 within rounding error.<BR>\n" );
document.write( "0.77-2.236 does not equal 3.<BR>\n" );
document.write( "The answer is 10.47; the other root is extraneous. </SPAN>\n" );
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