document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=118062>Question 118062</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify by combining like terms.\r<BR>\n" );
document.write( "\n" );
document.write( "square root of 63 - 2 square root of 28 + 5 square root of 7\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #86133 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=86133\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2863%29-2%2Asqrt%2828%29%2B5%2Asqrt%287%29 ALIGN=MIDDLE  ALT=\"sqrt%2863%29-2%2Asqrt%2828%29%2B5%2Asqrt%287%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2Asqrt%287%29-2%2Asqrt%2828%29%2B5%2Asqrt%287%29 ALIGN=MIDDLE  ALT=\"3%2Asqrt%287%29-2%2Asqrt%2828%29%2B5%2Asqrt%287%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2863%29 ALIGN=MIDDLE  ALT=\"sqrt%2863%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2Asqrt%287%29 ALIGN=MIDDLE  ALT=\"3%2Asqrt%287%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Note: If you need help with simplifying square roots, check out this <a  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Radicals/simplifying-square-roots.solver> solver</a>.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2Asqrt%287%29-2%2A2%2Asqrt%287%29%2B5%2Asqrt%287%29 ALIGN=MIDDLE  ALT=\"3%2Asqrt%287%29-2%2A2%2Asqrt%287%29%2B5%2Asqrt%287%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2828%29 ALIGN=MIDDLE  ALT=\"sqrt%2828%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Asqrt%287%29 ALIGN=MIDDLE  ALT=\"2%2Asqrt%287%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2Asqrt%287%29-4%2Asqrt%287%29%2B5%2Asqrt%287%29 ALIGN=MIDDLE  ALT=\"3%2Asqrt%287%29-4%2Asqrt%287%29%2B5%2Asqrt%287%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply 2 and 2 to get 4.\r<BR>\n" );
document.write( "\n" );
document.write( " \r<BR>\n" );
document.write( "\n" );
document.write( "Since we have the common term <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%287%29 ALIGN=MIDDLE  ALT=\"sqrt%287%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we can combine like terms\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283-4%2B5%29sqrt%287%29 ALIGN=MIDDLE  ALT=\"%283-4%2B5%29sqrt%287%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms. Remember, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%2B3x-4x=%285%2B3-4%29x=4x ALIGN=MIDDLE  ALT=\"5x%2B3x-4x=%285%2B3-4%29x=4x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Asqrt%287%29 ALIGN=MIDDLE  ALT=\"4%2Asqrt%287%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now simplify <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3-4%2B5 ALIGN=MIDDLE  ALT=\"3-4%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4 ALIGN=MIDDLE  ALT=\"4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2863%29-2%2Asqrt%2828%29%2B5%2Asqrt%287%29 ALIGN=MIDDLE  ALT=\"sqrt%2863%29-2%2Asqrt%2828%29%2B5%2Asqrt%287%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Asqrt%287%29 ALIGN=MIDDLE  ALT=\"4%2Asqrt%287%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. In other words,  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2863%29-2%2Asqrt%2828%29%2B5%2Asqrt%287%29=4%2Asqrt%287%29 ALIGN=MIDDLE  ALT=\"sqrt%2863%29-2%2Asqrt%2828%29%2B5%2Asqrt%287%29=4%2Asqrt%287%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );