document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=84483>Question 84483</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine whether SQRT25/68  is rational or irrational.<BR>\n" );
document.write( "I came up with Irrational.<BR>\n" );
document.write( "Did I just maybe get it right? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #60902 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=60902\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The answer you were given to this problem by Checkley is WRONG!  YOU WERE CORRECT in saying that this is an irrational number.  An irrational number is a REAL NUMBER, but it is one that is NOT rational.  That is, it CANNOT be expressed as a quotient of two integers.  Irrational numbers include radical expressions that do not come out even, such as <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;\" >, etc.  If the square root happens to be of a perfect square, such as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2825%29+ ALIGN=MIDDLE  ALT=\"sqrt%2825%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then it is considered to be rational.  Your answer involves the square root of a number, 68, that is not a perfect square.  Therefore it is an irrational number. \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2825%2F68%29 ALIGN=MIDDLE  ALT=\"sqrt%2825%2F68%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a REAL but yet an IRRATIONAL NUMBER.  \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "R^2 at SCC  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );