document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=641886>Question 641886</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what are some examples of irrational numbers? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #403885 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=403885\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> An <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=irrational ALIGN=MIDDLE  ALT=\"irrational\"   DISABLED_style= \"max-width:90%; height:auto;\" > number is a real number that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cannot ALIGN=MIDDLE  ALT=\"cannot\"   DISABLED_style= \"max-width:90%; height:auto;\" > be written as a <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=simple ALIGN=MIDDLE  ALT=\"simple\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=fraction ALIGN=MIDDLE  ALT=\"fraction\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "some examples of irrational numbers:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Pi=3.1415926535897932384626433832795=%28%28question-mark%29%2F%28question-mark%29%29%28means-no_ratio%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The popular approximation of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=22%2F7+=+3.1428571428571 ALIGN=MIDDLE  ALT=\"22%2F7+=+3.1428571428571\"   DISABLED_style= \"max-width:90%; height:auto;\" >... is close but not accurate.\r<BR>\n" );
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document.write( "Many square roots, cube roots, etc are also irrational numbers. Examples: <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;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt+%2899%29 ALIGN=MIDDLE  ALT=\"sqrt+%2899%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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