document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=59835>Question 59835</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0078213479/algebrahomeworkh>Alegbra Concepts and applications</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> please help with the following\r<BR>\n" );
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document.write( "Determine whether the number is rational or irrational. If it is irrational, find two consecutive integers which its graph lies on the number line.\r<BR>\n" );
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document.write( "square root 67 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #41074 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=41074\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2867%29 ALIGN=MIDDLE  ALT=\"sqrt%2867%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > would be rational if you could find an integer whose square is 67.<BR>\n" );
document.write( "Let's see...\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%5E2+=+64 ALIGN=MIDDLE  ALT=\"8%5E2+=+64\"   DISABLED_style= \"max-width:90%; height:auto;\" > Nope! Too small!<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%5E2+=+81 ALIGN=MIDDLE  ALT=\"9%5E2+=+81\"   DISABLED_style= \"max-width:90%; height:auto;\" > Nope! Too large!\r<BR>\n" );
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document.write( "The answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2867%29+=+8.18535277187 ALIGN=MIDDLE  ALT=\"sqrt%2867%29+=+8.18535277187\"   DISABLED_style= \"max-width:90%; height:auto;\" > (approx.) is irrational.<BR>\n" );
document.write( "The second part of the problem is answered above.<BR>\n" );
document.write( "Find two consecutive integers between which <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2867%29 ALIGN=MIDDLE  ALT=\"sqrt%2867%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > lies on the number line.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8+%3C+sqrt%2867%29+%3C9+ ALIGN=MIDDLE  ALT=\"8+%3C+sqrt%2867%29+%3C9+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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