document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=289126>Question 289126</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sqrt(3)+ Sqrt(x-2)=Sqrt(x+3) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #209486 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=209486\">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%283%29%2Bsqrt%28x-2%29=sqrt%28x%2B3%29 ALIGN=MIDDLE  ALT=\"sqrt%283%29%2Bsqrt%28x-2%29=sqrt%28x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%283%29%2Bsqrt%28x-2%29%29%5E2=x%2B3 ALIGN=MIDDLE  ALT=\"%28sqrt%283%29%2Bsqrt%28x-2%29%29%5E2=x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Square both sides (to eliminate the square root on the right side)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2B2%2Asqrt%283%29%2Asqrt%28x-2%29%2Bx-2=x%2B3 ALIGN=MIDDLE  ALT=\"3%2B2%2Asqrt%283%29%2Asqrt%28x-2%29%2Bx-2=x%2B3\"   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=3%2B2%2Asqrt%283%28x-2%29%29%2Bx-2=x%2B3 ALIGN=MIDDLE  ALT=\"3%2B2%2Asqrt%283%28x-2%29%29%2Bx-2=x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the roots.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Asqrt%283x-6%29%2Bx%2B1=x%2B3 ALIGN=MIDDLE  ALT=\"2%2Asqrt%283x-6%29%2Bx%2B1=x%2B3\"   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=2%2Asqrt%283x-6%29=x%2B3-x-1 ALIGN=MIDDLE  ALT=\"2%2Asqrt%283x-6%29=x%2B3-x-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 'x' from both sides. Subtract 1 from both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Asqrt%283x-6%29=2 ALIGN=MIDDLE  ALT=\"2%2Asqrt%283x-6%29=2\"   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=sqrt%283x-6%29=2%2F2 ALIGN=MIDDLE  ALT=\"sqrt%283x-6%29=2%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 2.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283x-6%29=1 ALIGN=MIDDLE  ALT=\"sqrt%283x-6%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-6=1%5E2 ALIGN=MIDDLE  ALT=\"3x-6=1%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Square both sides (to eliminate the square root)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-6=1 ALIGN=MIDDLE  ALT=\"3x-6=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Square 1 to get 1.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x=1%2B6 ALIGN=MIDDLE  ALT=\"3x=1%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add 6 to both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x=7 ALIGN=MIDDLE  ALT=\"3x=7\"   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=x=7%2F3 ALIGN=MIDDLE  ALT=\"x=7%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 3 to isolate 'x'.\r<BR>\n" );
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document.write( "So the solution is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=7%2F3 ALIGN=MIDDLE  ALT=\"x=7%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I'll let you do the check. Simply plug this value back into the equation and simplify. You should get an equation that is always true.<BR>\n" );
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