document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=550649>Question 550649</A>: <I><SPAN STYLE=\"word-break: break-all;\"> leave a non-perfect square under the radial sign:  x^2+23=144.  what is a non-perfect square and what is a radical sign?\r<BR>\n" );
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document.write( "what I have come up with is x^2+23=144-23; x^2=121; sqrt of 121 is 11\r<BR>\n" );
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document.write( "i need to know what a perfect square is and what a radical sign is </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #358940 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=358940\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A perfect square is a number x such that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=k%5E2 ALIGN=MIDDLE  ALT=\"x=k%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > where k is some whole number.\r<BR>\n" );
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document.write( "For example, 100 is a perfect square because <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100=10%5E2 ALIGN=MIDDLE  ALT=\"100=10%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. You can figure out if a number is a perfect square by evaluating the square root of that number. If the square root of that number is a whole number, then that number is a perfect square.\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28100%29=10 ALIGN=MIDDLE  ALT=\"sqrt%28100%29=10\"   DISABLED_style= \"max-width:90%; height:auto;\" > (which makes it a perfect square), but <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28101%29=10.0498756211209 ALIGN=MIDDLE  ALT=\"sqrt%28101%29=10.0498756211209\"   DISABLED_style= \"max-width:90%; height:auto;\" > (which makes it a non-perfect square)\r<BR>\n" );
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document.write( "The radical sign is just another way of saying the square root sign.\r<BR>\n" );
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document.write( "Note: keep in mind that x = -11 is also a solution along with x = 11 </SPAN>\n" );
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