document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=474691>Question 474691</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Are each of the statements below true or false?  Explain your answer. \r<BR>\n" );
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document.write( "&#8730;a + &#8730;b = &#8730;(a+b). Explain why.<BR>\n" );
document.write( " The numerator and denominator of the following must be multiplied by &#8730;3 to rationalize <BR>\n" );
document.write( "              3<BR>\n" );
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document.write( "           3 + &#8730;3\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #325645 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=325645\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. Statement is false because if we square both sides we get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE a + b + 2\sqrt{ab} = a+b\">\r<BR>\n" );
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document.write( "which does not hold for all real a,b.\r<BR>\n" );
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document.write( "2. It must be multiplied by 3 - sqrt(3), not just sqrt(3). This is because the denominator becomes a rational number (applying difference of two squares). </SPAN>\n" );
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