document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=75410>Question 75410</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Is it possible to find the square root of a number that is not a perfect square without a calculator? Such as 80? 195? etc...  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #54086 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=54086\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Such a numberis irrational which means its decimal form is a non-repeating<BR>\n" );
document.write( "pattern.<BR>\n" );
document.write( "You can never write the entire decimal form but you can carry it out<BR>\n" );
document.write( "to as many places as you have the patience to do so.<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "For example:<BR>\n" );
document.write( "sqrt 80 = ?<BR>\n" );
document.write( "8<sqrt80<9<BR>\n" );
document.write( "8.9<sqrt80<9<BR>\n" );
document.write( "8.94<sqrt80<9<BR>\n" );
document.write( "8.944<sqrt80<9<BR>\n" );
document.write( "8.9442<sqrt80<9<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "If you square 8.9442 you will find it is less than 80<BR>\n" );
document.write( "If you square 9 you will find it is more than 80.<BR>\n" );
document.write( "So the square root is in between 8.9442 and 9.<BR>\n" );
document.write( "You can keep this up forever if you wish.<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );