document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=84767>Question 84767</A>: <I><SPAN STYLE=\"word-break: break-all;\"> \"Are all square roots 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 #61055 by </B><A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><B>Edwin McCravy(20060)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><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=Edwin+McCravy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=61055\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \"Are all square roots irrational numbers?\"<BR>\n" );
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document.write( "No because <BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%284%29 ALIGN=MIDDLE  ALT=\"sqrt%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2 which is rational.<BR>\n" );
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document.write( "<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;\" > = 5 which is rational.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2849%2F81%29 ALIGN=MIDDLE  ALT=\"sqrt%2849%2F81%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F9 ALIGN=MIDDLE  ALT=\"7%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is rational.<BR>\n" );
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document.write( "However many are irrational, such as<BR>\n" );
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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;\" > which has decimal approximation 1.414213562373...<BR>\n" );
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document.write( "and the decimal never repeats a block of digits.<BR>\n" );
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document.write( "Same for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2810%29 ALIGN=MIDDLE  ALT=\"sqrt%2810%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > which has decimal approximation 3.162277660168...<BR>\n" );
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document.write( "and this decimal also never repeats a block of digits.<BR>\n" );
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document.write( "But the answer to your question is no, many square roots are rational.<BR>\n" );
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document.write( "Edwin </SPAN>\n" );
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