document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=167725>Question 167725</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Perform the indicated operations:<BR>\n" );
document.write( "4&#8730;[50] + &#8730;[32] – &#8730;[18]\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #123631 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=123631\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Asqrt%2850%29-sqrt%2832%29-sqrt%2818%29 ALIGN=MIDDLE  ALT=\"4%2Asqrt%2850%29-sqrt%2832%29-sqrt%2818%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2A5%2Asqrt%282%29-sqrt%2832%29-sqrt%2818%29 ALIGN=MIDDLE  ALT=\"4%2A5%2Asqrt%282%29-sqrt%2832%29-sqrt%2818%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2850%29 ALIGN=MIDDLE  ALT=\"sqrt%2850%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"5%2Asqrt%282%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" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2A5%2Asqrt%282%29-4%2Asqrt%282%29-sqrt%2818%29 ALIGN=MIDDLE  ALT=\"4%2A5%2Asqrt%282%29-4%2Asqrt%282%29-sqrt%2818%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2832%29 ALIGN=MIDDLE  ALT=\"sqrt%2832%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"4%2Asqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2A5%2Asqrt%282%29-4%2Asqrt%282%29-3%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"4%2A5%2Asqrt%282%29-4%2Asqrt%282%29-3%2Asqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2818%29 ALIGN=MIDDLE  ALT=\"sqrt%2818%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"3%2Asqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2Asqrt%282%29-4%2Asqrt%282%29-3%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"20%2Asqrt%282%29-4%2Asqrt%282%29-3%2Asqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply 4 and 5 to get 20.\r<BR>\n" );
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document.write( "Since we have the common term <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%29 ALIGN=MIDDLE  ALT=\"sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we can combine like terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2820-4-3%29sqrt%282%29 ALIGN=MIDDLE  ALT=\"%2820-4-3%29sqrt%282%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" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"13%2Asqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now simplify <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20-4-3 ALIGN=MIDDLE  ALT=\"20-4-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13 ALIGN=MIDDLE  ALT=\"13\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Asqrt%2850%29-sqrt%2832%29-sqrt%2818%29 ALIGN=MIDDLE  ALT=\"4%2Asqrt%2850%29-sqrt%2832%29-sqrt%2818%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"13%2Asqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "In other words,  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Asqrt%2850%29-sqrt%2832%29-sqrt%2818%29=13%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"4%2Asqrt%2850%29-sqrt%2832%29-sqrt%2818%29=13%2Asqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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