document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=876540>Question 876540</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2.Explain why the sum of a rational number and an irrational number is irrational. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #528852 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=528852\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assume, on the contrary, that p+q = r where p is rational, q is irrational, r is rational. Then q = r-p. But r-p is rational (due to closure) so q must be rational, contradiction. Therefore the sum of a rational and irrational is irrational. </SPAN>\n" );
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