document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=312691>Question 312691</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need to simpfifly radical expressions(no calculator)\r<BR>\n" );
document.write( "\n" );
document.write( "1. 2sqrt(75) + sqrt(108)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "2. sqrt(6)( sqrt(3)+5 sqrt(2) )\r<BR>\n" );
document.write( "\n" );
document.write( "3. (3- sqrt(2)(3 + sqrt(2) )\r<BR>\n" );
document.write( "\n" );
document.write( "4.  3 sqrt(2)<BR>\n" );
document.write( "    ---------<BR>\n" );
document.write( "    5+ sqrt(3)\r<BR>\n" );
document.write( "\n" );
document.write( "5.sqrt(5x+1)+2=6\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "please show me how you get thee answers<BR>\n" );
document.write( "thank you! p.s. number 4. the --- is the division line </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #223675 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=223675\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I need to simplifly radical expressions(no calculator)<BR>\n" );
document.write( "1. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2sqrt%2875%29+%2B+sqrt%28108%29 ALIGN=MIDDLE  ALT=\"2sqrt%2875%29+%2B+sqrt%28108%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Factor inside the radicals to reveal perfect squares<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Asqrt%2825%2A3%29+%2B+sqrt%2836%2A3%29 ALIGN=MIDDLE  ALT=\"2%2Asqrt%2825%2A3%29+%2B+sqrt%2836%2A3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Extract the squares<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2A2sqrt%283%29+%2B+6%2Asqrt%283%29 ALIGN=MIDDLE  ALT=\"5%2A2sqrt%283%29+%2B+6%2Asqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2Asqrt%283%29+%2B+6%2Asqrt%283%29 ALIGN=MIDDLE  ALT=\"10%2Asqrt%283%29+%2B+6%2Asqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "these are like terms so we just add them<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%2Asqrt%283%29 ALIGN=MIDDLE  ALT=\"16%2Asqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "2. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%286%29%28+sqrt%283%29%2B5sqrt%282%29+%29 ALIGN=MIDDLE  ALT=\"sqrt%286%29%28+sqrt%283%29%2B5sqrt%282%29+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "multiply what's inside the brackets<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%286%2A3%29%2B5sqrt%286%2A2%29 ALIGN=MIDDLE  ALT=\"sqrt%286%2A3%29%2B5sqrt%286%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=sqrt%2818%29%2B5sqrt%2812%29 ALIGN=MIDDLE  ALT=\"sqrt%2818%29%2B5sqrt%2812%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Factor to reveal perfect squares<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%289%2A2%29%2B5sqrt%284%2A3%29 ALIGN=MIDDLE  ALT=\"sqrt%289%2A2%29%2B5sqrt%284%2A3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Extract those squares<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2Asqrt%282%29%2B2%2A5sqrt%283%29 ALIGN=MIDDLE  ALT=\"3%2Asqrt%282%29%2B2%2A5sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2Asqrt%282%29%2B10%2Asqrt%283%29 ALIGN=MIDDLE  ALT=\"3%2Asqrt%282%29%2B10%2Asqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "3. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283-sqrt%282%29%29%2A%283%2Bsqrt%282%29%29 ALIGN=MIDDLE  ALT=\"%283-sqrt%282%29%29%2A%283%2Bsqrt%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "FOIL<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9+%2B+3sqrt%282%29+-+3sqrt%282%29+-+2 ALIGN=MIDDLE  ALT=\"9+%2B+3sqrt%282%29+-+3sqrt%282%29+-+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Middle terms cancel<BR>\n" );
document.write( "9 - 2 = 7<BR>\n" );
document.write( ":<BR>\n" );
document.write( "4. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283sqrt%282%29%29%2F%285%2B+sqrt%283%29%29 ALIGN=MIDDLE  ALT=\"%283sqrt%282%29%29%2F%285%2B+sqrt%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "multiply by the conjugate of the denominator over itself<BR>\n" );
document.write( ":<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283sqrt%282%29%29%2F%285%2B+sqrt%283%29%29 ALIGN=MIDDLE  ALT=\"%283sqrt%282%29%29%2F%285%2B+sqrt%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > * <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285-sqrt%283%29%29%2F%285-+sqrt%283%29%29 ALIGN=MIDDLE  ALT=\"%285-sqrt%283%29%29%2F%285-+sqrt%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2815sqrt%282%29-3sqrt%283%2A2%29%29%2F%2825-3%29 ALIGN=MIDDLE  ALT=\"%2815sqrt%282%29-3sqrt%283%2A2%29%29%2F%2825-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2815sqrt%282%29-3sqrt%286%29%29%2F%2822%29 ALIGN=MIDDLE  ALT=\"%2815sqrt%282%29-3sqrt%286%29%29%2F%2822%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "5.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%285x%2B1%29%2B2=6+ ALIGN=MIDDLE  ALT=\"sqrt%285x%2B1%29%2B2=6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "subtract 2 from both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%285x%2B1%29=4+ ALIGN=MIDDLE  ALT=\"sqrt%285x%2B1%29=4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Square both sides<BR>\n" );
document.write( "5x + 1 = 16<BR>\n" );
document.write( "5x = 16 - 1<BR>\n" );
document.write( "5x = 15<BR>\n" );
document.write( "x = 3<BR>\n" );
document.write( ":<BR>\n" );
document.write( "You can check solution in the original equation </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );