document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=374883>Question 374883</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello,<BR>\n" );
document.write( "I think I am confused on this whole radical equation thing.  The problem I have is : <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=28-4sqrt%28+2+%29=24+sqrt%28+2+%29 ALIGN=MIDDLE  ALT=\"28-4sqrt%28+2+%29=24+sqrt%28+2+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "First I have to get one of the radical terms isolated, but in this case one is already isolated correct?<BR>\n" );
document.write( "Next is using the principle of powers so I would square both sides, this would give me <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=28-4sqrt%28+2+%29%5E2=+24+sqrt%28+2+%29%5E2 ALIGN=MIDDLE  ALT=\"28-4sqrt%28+2+%29%5E2=+24+sqrt%28+2+%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Is this correct thus far?<BR>\n" );
document.write( "Sorry, but I'm lost. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #266595 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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/cgi-bin/show-face.mpl?user=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=266595\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "You have a bunch of stuff going on here, and none of it is correct.  In the first place you cannot simply square parts of your equation and ignore the rest of it.\r<BR>\n" );
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document.write( "Hence, it is NOT correct to say that if <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 28\ -\ 4\sqrt{2}\ =\ 24\sqrt{2}\"> then <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 28\ -\ 4\left(\sqrt{2})\right)^2\ =\ 24\left(\sqrt{2}\right)^2\">.\r<BR>\n" );
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document.write( "Now, given <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 28\ -\ 4\sqrt{2}\ =\ 24\sqrt{2}\">, it would be correct to perform the following operation:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \left(28\ -\ 4\sqrt{2})\right)^2\ =\ \left(24\sqrt{2}\right)^2\">\r<BR>\n" );
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document.write( "which works out to\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 752\ -\ 224\sqrt{2}\ =\ 1152\">\r<BR>\n" );
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document.write( "When you FOIL and collect terms in the LHS.\r<BR>\n" );
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document.write( "BUT -- that is all for naught because you began with a false statement, namely it is NOT true that\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 28\ -\ 4\sqrt{2}\ =\ 24\sqrt{2}\">\r<BR>\n" );
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document.write( "Add  <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 4\sqrt{2}\"> to both sides resulting in\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 28\ =\ 28\sqrt{2}\">\r<BR>\n" );
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document.write( "Which is clearly a false statement.  If you divide both sides by 28 you know that the square root of 2 is certainly not equal to 1.\r<BR>\n" );
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document.write( "I'm concerned that you may have left something out of the original problem statement.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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