document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=101305>Question 101305</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine whether SQRT (77)  is rational or irrational. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #73789 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=73789\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2877%29 ALIGN=MIDDLE  ALT=\"sqrt%2877%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > rational or irrational?<BR>\n" );
document.write( "Well, a rational number is a number that can be represented by the quotient of two integers. Examples are: integers, repeating decimals, terminating decimals.<BR>\n" );
document.write( "When you take the square root of a number that is not a perfect square, such as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2877%29 ALIGN=MIDDLE  ALT=\"sqrt%2877%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the result is a non-terminating, non-repeating decimal. Such a decimal can not be represented by the quotient of two integers!<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2877%29+=+8.77496438739 ALIGN=MIDDLE  ALT=\"sqrt%2877%29+=+8.77496438739\"   DISABLED_style= \"max-width:90%; height:auto;\" >...ad infinitum. This is irrational! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );