document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=481617>Question 481617</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Nakim simplified 3 times the square root of 2x plus x times the square root of 8x minus 5 times the square root of 18x and got -10x times the square root of 2x for an answer.\r<BR>\n" );
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document.write( "Part 1: Using complete sentences, explain what Nakim did wrong.\r<BR>\n" );
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document.write( "Part 2: Show all your work to simplify the expression.\r<BR>\n" );
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document.write( "(You can use \"sqrt()\" to show a square root. For example, 7 times the square root of a can be written as 7sqrt(a). )  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #329764 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=329764\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> original expression is:<BR>\n" );
document.write( "3*sqrt(2x) + x*sqrt(8x) - 5*sqrt(18x becomes:<BR>\n" );
document.write( "3*sqrt(2x) + 2x*sqrt(2x) - 15*sqrt(2x).<BR>\n" );
document.write( "you can factor out the sqrt(2x) to get:<BR>\n" );
document.write( "sqrt(2x) * (3 + 2x - 15) which results in:<BR>\n" );
document.write( "sqrt(2x) * (-12 + 2x)<BR>\n" );
document.write( "the answer given was sqrt(2x) * (-10x)<BR>\n" );
document.write( "looks like nakim combined 3 + 2x - 15 to get -10x.<BR>\n" );
document.write( "the 3 and the -15 could be combined because they're like terms.<BR>\n" );
document.write( "the 2x could not be combined because it was different from them.  it included an x in the term which the others did not have.<BR>\n" );
document.write( "a + a = 2a because they are like terms.<BR>\n" );
document.write( "a + b = a + b because they are not like terms. </SPAN>\n" );
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