document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=461858>Question 461858</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone explain this to me? I read my text and I am lost... Are each of the statements below true or false? Explain your answer without just saying true or false. <BR>\n" );
document.write( "1. sqrt(a)+sqrt(b)=sqrt a+b<BR>\n" );
document.write( "2. The numerator and denominator of the following must be multiplied by sqrt 3 to rationalize 3/3+sqrt3.<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 #316727 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=316727\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Right away, we know statement 1 is false; square root is not commutative. For example, let a = 9, b = 16, then <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\sqrt{9} + \sqrt{16} = \sqrt{9 + 16}\"> which pretty much says that 7 = 5.\r<BR>\n" );
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document.write( "Statement 2 is false; multiplying by sqrt(3) will only turn the denominator into another radical expression. Multiplying by 3 - sqrt(3) will rationalize the denominator. </SPAN>\n" );
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