document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=685987>Question 685987</A>: <I><SPAN STYLE=\"word-break: break-all;\"> f(x)=sqrt 3x ; g(x)=sqrt 12x<BR>\n" );
document.write( "solve:<BR>\n" );
document.write( "(f+g)(x)\r<BR>\n" );
document.write( "\n" );
document.write( "I thought (3+12)sqrt x but thats not it.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #424672 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=424672\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(x)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283x%29 ALIGN=MIDDLE  ALT=\"sqrt%283x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ; g(x)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2812x%29 ALIGN=MIDDLE  ALT=\"sqrt%2812x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "solve:<BR>\n" );
document.write( "(f+g)(x)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283x%29%2Bsqrt%2812x%29 ALIGN=MIDDLE  ALT=\"sqrt%283x%29%2Bsqrt%2812x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(f+g)(x)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283x%29%2Bsqrt%284%2A3x%29 ALIGN=MIDDLE  ALT=\"sqrt%283x%29%2Bsqrt%284%2A3x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(f+g)(x)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283x%29%2B2sqrt%283x%29 ALIGN=MIDDLE  ALT=\"sqrt%283x%29%2B2sqrt%283x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(f+g)(x)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%283sqrt%283x%29%29 ALIGN=MIDDLE  ALT=\"highlight%283sqrt%283x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "***********************************<BR>\n" );
document.write( "Explanation....first you simplify the radicals.  You can only add and subtract like terms.  Radicals are only like terms when the indexes and roots are exactly the same.<BR>\n" );
document.write( "Happy Calculating!<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );