document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=178262>Question 178262</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395977258/algebrahomeworkh>Algebra and Trigonometry Structure and Method book 2</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I have been struggling to figure out this math problem and I was wondering if someone could help me? Please and Thank You!! I would deeply appreciate it!!\r<BR>\n" );
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document.write( "Binomials Containing Radicals<BR>\n" );
document.write( "Simplify. Assume that each radical represents a real number.<BR>\n" );
document.write( "(&#8730;w)/(&#8730;w+1)+(&#8730;w)/(&#8730;w-1)\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 #133235 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=133235\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28w%29%2F%28sqrt%28w%29%2B1%29%2Bsqrt%28w%29%2F%28sqrt%28w%29-1%29 ALIGN=MIDDLE  ALT=\"sqrt%28w%29%2F%28sqrt%28w%29%2B1%29%2Bsqrt%28w%29%2F%28sqrt%28w%29-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression.\r<BR>\n" );
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document.write( "Take note that the LCD is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%28w%29%2B1%29%28sqrt%28w%29-1%29 ALIGN=MIDDLE  ALT=\"%28sqrt%28w%29%2B1%29%28sqrt%28w%29-1%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=%28sqrt%28w%29%2F%28sqrt%28w%29%2B1%29%29%28%28sqrt%28w%29-1%29%2F%28sqrt%28w%29-1%29%29%2Bsqrt%28w%29%2F%28sqrt%28w%29-1%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the first fraction by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%28w%29-1%29%2F%28sqrt%28w%29-1%29 ALIGN=MIDDLE  ALT=\"%28sqrt%28w%29-1%29%2F%28sqrt%28w%29-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get the denominator equal to the LCD\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%28w%29%2A%28sqrt%28w%29-1%29%29%2F%28%28sqrt%28w%29%2B1%29%28sqrt%28w%29-1%29%29%2Bsqrt%28w%29%2F%28sqrt%28w%29-1%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Combine and multiply the fractions\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%28w%29%2A%28sqrt%28w%29-1%29%29%2F%28%28sqrt%28w%29%2B1%29%28sqrt%28w%29-1%29%29%2B%28sqrt%28w%29%2F%28sqrt%28w%29-1%29%29%28%28sqrt%28w%29%2B1%29%2F%28sqrt%28w%29%2B1%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the second fraction by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%28w%29%2B1%29%2F%28sqrt%28w%29%2B1%29 ALIGN=MIDDLE  ALT=\"%28sqrt%28w%29%2B1%29%2F%28sqrt%28w%29%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get the denominator equal to the LCD\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%28w%29%2A%28sqrt%28w%29-1%29%29%2F%28%28sqrt%28w%29%2B1%29%28sqrt%28w%29-1%29%29%2B%28sqrt%28w%29%2A%28sqrt%28w%29%2B1%29%29%2F%28%28sqrt%28w%29-1%29%28sqrt%28w%29%2B1%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Combine and multiply the fractions\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%28w%29%2Asqrt%28w%29%2Bsqrt%28w%29%28-1%29%29%2F%28%28sqrt%28w%29%2B1%29%28sqrt%28w%29-1%29%29%2B%28sqrt%28w%29%2Asqrt%28w%29%2Bsqrt%28w%29%281%29%29%2F%28%28sqrt%28w%29%2B1%29%28sqrt%28w%29-1%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=%28%28sqrt%28w%29%29%5E2-sqrt%28w%29%29%2F%28%28sqrt%28w%29%2B1%29%28sqrt%28w%29-1%29%29%2B%28%28sqrt%28w%29%29%5E2%2Bsqrt%28w%29%29%2F%28%28sqrt%28w%29%2B1%29%28sqrt%28w%29-1%29%29 ALIGN=MIDDLE   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=%28w-sqrt%28w%29%29%2F%28%28sqrt%28w%29%2B1%29%28sqrt%28w%29-1%29%29%2B%28w%2Bsqrt%28w%29%29%2F%28%28sqrt%28w%29%2B1%29%28sqrt%28w%29-1%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Square <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28w%29 ALIGN=MIDDLE  ALT=\"sqrt%28w%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get \"w\"\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28w-sqrt%28w%29%2Bw%2Bsqrt%28w%29%29%2F%28%28sqrt%28w%29%2B1%29%28sqrt%28w%29-1%29%29 ALIGN=MIDDLE  ALT=\"%28w-sqrt%28w%29%2Bw%2Bsqrt%28w%29%29%2F%28%28sqrt%28w%29%2B1%29%28sqrt%28w%29-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the fractions (this is possible since the denominators are equal)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282w%29%2F%28%28sqrt%28w%29%2B1%29%28sqrt%28w%29-1%29%29 ALIGN=MIDDLE  ALT=\"%282w%29%2F%28%28sqrt%28w%29%2B1%29%28sqrt%28w%29-1%29%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=%282w%29%2F%28%28sqrt%28w%29%29%5E2-1%5E2%29 ALIGN=MIDDLE  ALT=\"%282w%29%2F%28%28sqrt%28w%29%29%5E2-1%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > FOIL the denominator (use the difference of squares formula)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282w%29%2F%28w-1%29 ALIGN=MIDDLE  ALT=\"%282w%29%2F%28w-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Square <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28w%29 ALIGN=MIDDLE  ALT=\"sqrt%28w%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get \"w\". Square 1 to get 1\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28w%29%2F%28sqrt%28w%29%2B1%29%2Bsqrt%28w%29%2F%28sqrt%28w%29-1%29=%282w%29%2F%28w-1%29 ALIGN=MIDDLE  ALT=\"sqrt%28w%29%2F%28sqrt%28w%29%2B1%29%2Bsqrt%28w%29%2F%28sqrt%28w%29-1%29=%282w%29%2F%28w-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%3E=0 ALIGN=MIDDLE  ALT=\"w%3E=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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