document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=995218>Question 995218</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Give an example that shows that each of the following can occur.<BR>\n" );
document.write( "a. The sum of two irrational numbers may be an irrational number.<BR>\n" );
document.write( "b. The sum of two irrational numbers may be a rational number.<BR>\n" );
document.write( "c. The product of two irrational numbers may be an irrational number.<BR>\n" );
document.write( "d. The product of two irrational numbers may be a rational number. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #614047 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=614047\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Give an example that shows that each of the following can occur.<BR>\n" );
document.write( "a. The sum of two irrational numbers may be an irrational number.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%29+%2B+sqrt%283%29 ALIGN=MIDDLE  ALT=\"sqrt%282%29+%2B+sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "b. The sum of two irrational numbers may be a rational number.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%29+%2B+%282+-+sqrt%282%29%29+=+2 ALIGN=MIDDLE  ALT=\"sqrt%282%29+%2B+%282+-+sqrt%282%29%29+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "c. The product of two irrational numbers may be an irrational number.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%29%2Asqrt%283%29+=+sqrt%286%29 ALIGN=MIDDLE  ALT=\"sqrt%282%29%2Asqrt%283%29+=+sqrt%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d. The product of two irrational numbers may be a rational number.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%287%29%2Asqrt%287%29+=+7 ALIGN=MIDDLE  ALT=\"sqrt%287%29%2Asqrt%287%29+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );