document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=124528>Question 124528</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify by combining like terms.\r<BR>\n" );
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document.write( "1) 5 square root of 8 MINUS 2 square root of 50 PLUS square root of 18\r<BR>\n" );
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document.write( "2) 3 square root of 5  MINUS square root of 45 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #91272 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=91272\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Simplify:<BR>\n" );
document.write( "1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5sqrt%288%29-2sqrt%2850%29%2Bsqrt%2818%29 ALIGN=MIDDLE  ALT=\"5sqrt%288%29-2sqrt%2850%29%2Bsqrt%2818%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The technique to use here is to factor the quantity under the radical (the radicand) looking for perfect squares in the factors. When you do find a factor that is a perfect square, take its square root and move the result outside of the radical.<BR>\n" );
document.write( "Like this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5sqrt%288%29+=+5sqrt%282%2A4%29 ALIGN=MIDDLE  ALT=\"5sqrt%288%29+=+5sqrt%282%2A4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > the 4 is a perfect square and its square root is 2, so you can rewrite this as:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5sqrt%288%29+=+5sqrt%282%2A4%29 ALIGN=MIDDLE  ALT=\"5sqrt%288%29+=+5sqrt%282%2A4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2A2sqrt%282%29+=+10sqrt%282%29 ALIGN=MIDDLE  ALT=\"5%2A2sqrt%282%29+=+10sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "See the idea?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5sqrt%288%29-2sqrt%2850%29%2Bsqrt%2818%29+=+10sqrt%282%29-2sqrt%282%2A25%29%2Bsqrt%282%2A9%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Simplifying, we get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10sqrt%282%29-10sqrt%282%29%2B3sqrt%282%29=3sqrt%282%29 ALIGN=MIDDLE  ALT=\"10sqrt%282%29-10sqrt%282%29%2B3sqrt%282%29=3sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2) Simplify:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3sqrt%285%29-sqrt%2845%29=+3sqrt%285%29-sqrt%285%2A9%29 ALIGN=MIDDLE  ALT=\"3sqrt%285%29-sqrt%2845%29=+3sqrt%285%29-sqrt%285%2A9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3sqrt%285%29-3sqrt%285%29+=+0 ALIGN=MIDDLE  ALT=\"3sqrt%285%29-3sqrt%285%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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