document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=120076>Question 120076</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have a question. How can you determine if a number is rational or irrational?\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1.) Is 64 squared rational or irrational?\r<BR>\n" );
document.write( "\n" );
document.write( "2.) Is -1.2 repeating decimal rational or irrational?\r<BR>\n" );
document.write( "\n" );
document.write( "Can some please explain different ways to determine if a number is irrational or rational? Thanks!!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #88012 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=88012\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A rational number is a number that can be expressed as a fraction a/b where a and b are both integers (b not equal to 0, too).<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=64%5E2=4096 ALIGN=MIDDLE  ALT=\"64%5E2=4096\"   DISABLED_style= \"max-width:90%; height:auto;\" > is rational because <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4096=40960%2F10 ALIGN=MIDDLE  ALT=\"4096=40960%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.2222222=11%2F9 ALIGN=MIDDLE  ALT=\"1.2222222=11%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > so it is also rational.<BR>\n" );
document.write( "Irrational numbers are numbers like<BR>\n" );
document.write( "<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;\" >=1.41421356237...<BR>\n" );
document.write( "and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi ALIGN=MIDDLE  ALT=\"pi\"   DISABLED_style= \"max-width:90%; height:auto;\" >=3.141592654...<BR>\n" );
document.write( "where there is no repeatable pattern. <BR>\n" );
document.write( "With a repeatable pattern, then you can find the integers that make up a rational number. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.333333333333+=+1%2F3 ALIGN=MIDDLE  ALT=\"0.333333333333+=+1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.142857142857+=+1%2F7 ALIGN=MIDDLE  ALT=\"0.142857142857+=+1%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.11111111111+=+1%2F9 ALIGN=MIDDLE  ALT=\"0.11111111111+=+1%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.09099090909+=+1%2F11 ALIGN=MIDDLE  ALT=\"0.09099090909+=+1%2F11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.0769230769230+=+1%2F13 ALIGN=MIDDLE  ALT=\"0.0769230769230+=+1%2F13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and on and on. <BR>\n" );
document.write( "Hope it helps.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );