document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=214925>Question 214925</A>: <I><SPAN STYLE=\"word-break: break-all;\"> can you please check if i got the right answer for this problem: 2&#8730;8+7&#8730;8/1-&#8730;2\r<BR>\n" );
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document.write( "these are my steps:<BR>\n" );
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document.write( "9&#8730;8/1-&#8730;2 multiplied by (1+&#8730;2/1+&#8730;2)\r<BR>\n" );
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document.write( "9&#8730;8(1-&#8730;2)/1+2\r<BR>\n" );
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document.write( "and this is my answer:  9&#8730;8(1-&#8730;2)/3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #162386 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=162386\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Unfortunately, that is not the correct answer. You can use a calculator to find the approximations of the two expressions. If the expressions are close enough approximately, then chances are they are equal. In this case, I found that\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2Asqrt%288%29%2B7%2Asqrt%288%29%29%2F%281-sqrt%282%29%29=-61.45584 ALIGN=MIDDLE  ALT=\"%282%2Asqrt%288%29%2B7%2Asqrt%288%29%29%2F%281-sqrt%282%29%29=-61.45584\"   DISABLED_style= \"max-width:90%; height:auto;\" > (approximately)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289%2Asqrt%288%29%2A%281-sqrt%282%29%29%29%2F3=-3.51472 ALIGN=MIDDLE  ALT=\"%289%2Asqrt%288%29%2A%281-sqrt%282%29%29%29%2F3=-3.51472\"   DISABLED_style= \"max-width:90%; height:auto;\" > (approximately)\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2Asqrt%288%29%2B7%2Asqrt%288%29%29%2F%281-sqrt%282%29%29%3C%3E%289%2Asqrt%288%29%2A%281-sqrt%282%29%29%29%2F3 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "To make things simpler, simplify the numerator <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Asqrt%288%29%2B7%2Asqrt%288%29 ALIGN=MIDDLE  ALT=\"2%2Asqrt%288%29%2B7%2Asqrt%288%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Asqrt%288%29%2B7%2Asqrt%288%29=%282%2B7%29%2Asqrt%288%29=9%2Asqrt%288%29=9%2Asqrt%284%29%2Asqrt%282%29=9%2A2%2Asqrt%282%29=18%2Asqrt%282%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >. I.e. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Asqrt%288%29%2B7%2Asqrt%288%29=18%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"2%2Asqrt%288%29%2B7%2Asqrt%288%29=18%2Asqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the expression <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2Asqrt%288%29%2B7%2Asqrt%288%29%29%2F%281-sqrt%282%29%29 ALIGN=MIDDLE  ALT=\"%282%2Asqrt%288%29%2B7%2Asqrt%288%29%29%2F%281-sqrt%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > then becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2818%2Asqrt%282%29%29%2F%281-sqrt%282%29%29 ALIGN=MIDDLE  ALT=\"%2818%2Asqrt%282%29%29%2F%281-sqrt%282%29%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=%2818%2Asqrt%282%29%29%2F%281-sqrt%282%29%29 ALIGN=MIDDLE  ALT=\"%2818%2Asqrt%282%29%29%2F%281-sqrt%282%29%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=%28%2818%2Asqrt%282%29%29%2F%281-sqrt%282%29%29%29%28%281%2Bsqrt%282%29%29%2F%281%2Bsqrt%282%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the fraction by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Bsqrt%282%29 ALIGN=MIDDLE  ALT=\"1%2Bsqrt%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=%28%2818%2Asqrt%282%29%29%281%2Bsqrt%282%29%29%29%2F%281-sqrt%282%29%29%281%2Bsqrt%282%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the fractions.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2818%2Asqrt%282%29%2B18%2Asqrt%282%29%2Asqrt%282%29%29%2F%281-sqrt%282%29%29%281%2Bsqrt%282%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2818%2Asqrt%282%29%2B18%2A2%29%2F%281-sqrt%282%29%29%281%2Bsqrt%282%29%29%29 ALIGN=MIDDLE  ALT=\"%2818%2Asqrt%282%29%2B18%2A2%29%2F%281-sqrt%282%29%29%281%2Bsqrt%282%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2836%2B18%2Asqrt%282%29%29%2F%281-sqrt%282%29%29%281%2Bsqrt%282%29%29%29 ALIGN=MIDDLE  ALT=\"%2836%2B18%2Asqrt%282%29%29%2F%281-sqrt%282%29%29%281%2Bsqrt%282%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rearrange the terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2836%2B18%2Asqrt%282%29%29%2F%281+-+2%29 ALIGN=MIDDLE  ALT=\"%2836%2B18%2Asqrt%282%29%29%2F%281+-+2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > FOIL\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2836%2B18%2Asqrt%282%29%29%2F%28-1%29 ALIGN=MIDDLE  ALT=\"%2836%2B18%2Asqrt%282%29%29%2F%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-36-18%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"-36-18%2Asqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce.\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2818%2Asqrt%282%29%29%2F%281-sqrt%282%29%29=-36-18%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"%2818%2Asqrt%282%29%29%2F%281-sqrt%282%29%29=-36-18%2Asqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2Asqrt%288%29%2B7%2Asqrt%288%29%29%2F%281-sqrt%282%29%29=%2818%2Asqrt%282%29%29%2F%281-sqrt%282%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > this means that\r<BR>\n" );
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document.write( "which is our answer.\r<BR>\n" );
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document.write( "Check: take note that \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2Asqrt%288%29%2B7%2Asqrt%288%29%29%2F%281-sqrt%282%29%29=-61.45584 ALIGN=MIDDLE  ALT=\"%282%2Asqrt%288%29%2B7%2Asqrt%288%29%29%2F%281-sqrt%282%29%29=-61.45584\"   DISABLED_style= \"max-width:90%; height:auto;\" > (approximately)\r<BR>\n" );
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document.write( "and \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-36-18%2Asqrt%282%29=-61.45584 ALIGN=MIDDLE  ALT=\"-36-18%2Asqrt%282%29=-61.45584\"   DISABLED_style= \"max-width:90%; height:auto;\" > (approximately)\r<BR>\n" );
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document.write( "So this verifies our answer.<BR>\n" );
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