document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=344619>Question 344619</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me solve 9^1/4 longhand without calculator  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #246631 by </B><A HREF=/tutors/aboutme.mpl?userid=Jk22><B>Jk22(389)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Jk22><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=Jk22><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=246631\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 9^1/4=9/4 if operator priorities works, <BR>\n" );
document.write( "  <BR>\n" );
document.write( "if we want 9^(1/4)=+/-Sqrt(3) :<BR>\n" );
document.write( "  <BR>\n" );
document.write( "hand extraction algorithm : <BR>\n" );
document.write( "a) like division layout, though divisor place is root place <BR>\n" );
document.write( "b) the smallest square to fit in 3 is 1, 1x1=1<3, 2x2=4>3, hence root place 1.<BR>\n" );
document.write( "c) 3-1=2(*)<BR>\n" );
document.write( "d) descend 2 digits: .00, place after 2(*), 2.00<BR>\n" );
document.write( "e) descend root on the right, times 2<BR>\n" );
document.write( "f) find the biggest n such that 2nxn<=2.00, 21x1=21, 22x2=44, 23x3=46,..<BR>\n" );
document.write( "  find 27x7=189, 28x8=224>200<BR>\n" );
document.write( "repeat from (c) : looks like : <BR>\n" );
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document.write( "3.00__ | 1.7320<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "1.00__ | <BR>\n" );
document.write( "-------<BR>\n" );
document.write( "2.00(*)| 27x7=140+49=189, 28x8=160+64>200, hence digit 7<BR>\n" );
document.write( "1.89__ |<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "110.0_| 2x17=34, 343x3=900+120+9=1029<1100, 344x4=1200+..>1120, hence digit 3<BR>\n" );
document.write( "102.9_|<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "710.0_| 2x173=346, 3462x2=6924<7100, 3463x3>7100, hence digit 2<BR>\n" );
document.write( "692.4_|<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "1760.0| 2x1732=3464, 34641>17600, hence digit 0<BR>\n" );
document.write( "... </SPAN>\n" );
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