document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=342910>Question 342910</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The question is 2 times the square root of 32 PLUS 3 times the square root of 8 MINUS 4 times the square root of 18.<BR>\n" );
document.write( "Please help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #245404 by </B><A HREF=/tutors/aboutme.mpl?userid=nyc_function><B>nyc_function(2741)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nyc_function><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=nyc_function><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=245404\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let sqrt = square root for short\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "sqrt[32] + 3(sqrt[8]) - 4(sqrt[18]) =\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Break down every square root.  Your goal is to get the same radicand for every term.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "sqrt[32] = 8(sqrt[2])\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "3(sqrt[8]) = 6(sqrt[2])\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "4(sqrt[18]) = 12(sqrt[2])\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "We now have 8(sqrt[2]) + 6(sqrt[2]) - 12(sqrt[2])\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Notice how every radical has the same number 2.  This was the goal. \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "We now simplify 8(sqrt[2]) + 6(sqrt[2]) - 12(sqrt[2]).\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "8(sqrt[2]) + 6(sqrt[2]) - 12(sqrt[2]) = 14(sqrt[2]) - 12(sqrt[2]).\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "14(sqrt[2]) - 12(sqrt[2]) = 2(sqrt[2]) as the final answer.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Did you follow?\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );