document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1159259>Question 1159259</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Perform the following operations. Assume all variables are positive.\r<BR>\n" );
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document.write( "a.2√8 − √128 + √48 + √18\r<BR>\n" );
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document.write( "b.(2√11 + 1) (√11 − 6)<BR>\n" );
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document.write( "a.2√8 − √128 + √48 + √18<br><BR>\n" );
document.write( "Simplify the radicals and combine where possible<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2sqrt%288%29+=+2sqrt%284%2A2%29+=+2sqrt%284%29%2Asqrt%282%29+=+4%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"2sqrt%288%29+=+2sqrt%284%2A2%29+=+2sqrt%284%29%2Asqrt%282%29+=+4%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=sqrt%28128%29+=+sqrt%2864%2A2%29+=+sqrt%2864%29%2Asqrt%282%29+=+8%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"sqrt%28128%29+=+sqrt%2864%2A2%29+=+sqrt%2864%29%2Asqrt%282%29+=+8%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=sqrt%2848%29+=+sqrt%2816%2A3%29+=+sqrt%2816%29%2Asqrt%283%29+=+4%2Asqrt%283%29 ALIGN=MIDDLE  ALT=\"sqrt%2848%29+=+sqrt%2816%2A3%29+=+sqrt%2816%29%2Asqrt%283%29+=+4%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=sqrt%2818%29+=+sqrt%289%2A2%29+=+sqrt%289%29%2Asqrt%282%29+=+3%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"sqrt%2818%29+=+sqrt%289%2A2%29+=+sqrt%289%29%2Asqrt%282%29+=+3%2Asqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWER: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2Asqrt%282%29%2B4%2Asqrt%283%29 ALIGN=MIDDLE  ALT=\"15%2Asqrt%282%29%2B4%2Asqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "b.(2√11 + 1) (√11 − 6)<BR>\n" );
document.write( "Use FOIL  (more generally, multiply each term of each factor by each term of the other) and combine where possible.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2Asqrt%2811%29%29%2A%28sqrt%2811%29%29+=+2%2A11+=+22 ALIGN=MIDDLE  ALT=\"%282%2Asqrt%2811%29%29%2A%28sqrt%2811%29%29+=+2%2A11+=+22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2Asqrt%2811%29%29%2A%28-6%29+=+-12%2Asqrt%2811%29 ALIGN=MIDDLE  ALT=\"%282%2Asqrt%2811%29%29%2A%28-6%29+=+-12%2Asqrt%2811%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Asqrt%2811%29+=+sqrt%2811%29 ALIGN=MIDDLE  ALT=\"1%2Asqrt%2811%29+=+sqrt%2811%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%28-6%29+=+-6 ALIGN=MIDDLE  ALT=\"1%28-6%29+=+-6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWER: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=22+-+12sqrt%2811%29%2Bsqrt%2811%29-6+=+16-11sqrt%2811%29 ALIGN=MIDDLE  ALT=\"22+-+12sqrt%2811%29%2Bsqrt%2811%29-6+=+16-11sqrt%2811%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );