document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=720688>Question 720688</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is 4 times the square root of 2 plus 3 times the square root of 8? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #441960 by </B><A HREF=/tutors/aboutme.mpl?userid=jsmallt9><B>jsmallt9(3758)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jsmallt9><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=441960\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4sqrt%282%29+%2B+3sqrt%288%29 ALIGN=MIDDLE  ALT=\"4sqrt%282%29+%2B+3sqrt%288%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Like radical terms have the same kinds of roots with the same radicands. (\"Radicand\" is the name for the expression inside a radical.) So these are not like terms and cannot be added (yet).<br><BR>\n" );
document.write( "But the second square root's radicand has a perfect square factor so it will simplify:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4sqrt%282%29+%2B+3sqrt%284%2A2%29 ALIGN=MIDDLE  ALT=\"4sqrt%282%29+%2B+3sqrt%284%2A2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4sqrt%282%29+%2B+3sqrt%284%29%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"4sqrt%282%29+%2B+3sqrt%284%29%2Asqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4sqrt%282%29+%2B+3%2A2%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"4sqrt%282%29+%2B+3%2A2%2Asqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4sqrt%282%29+%2B+6sqrt%282%29 ALIGN=MIDDLE  ALT=\"4sqrt%282%29+%2B+6sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "After simplifying, we find that we now have like terms. (Both are square roots and both radicands are 2's.) So we can add them. And <i>exactly</i> like 4x + 6x = 10x:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4sqrt%282%29+%2B+6sqrt%282%29 ALIGN=MIDDLE  ALT=\"4sqrt%282%29+%2B+6sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "adds up to<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10sqrt%282%29 ALIGN=MIDDLE  ALT=\"10sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
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