document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=416590>Question 416590</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am struggling with square roots. What is the SR of (R+3) squared?<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 #291851 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=291851\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The square root of anything squared is just that same thing back; however, this result is ALWAYS positive (or zero if it was originally zero). Basically, think of the square root \"undoing\" the square.\r<BR>\n" );
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document.write( "So this means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%5E2%29=abs%28x%29 ALIGN=MIDDLE  ALT=\"sqrt%28x%5E2%29=abs%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > for any real x. Take note of the absolute value bars.\r<BR>\n" );
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document.write( "So in your case, x=R+3, which means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28R%2B3%29%5E2%29=abs%28R%2B3%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28R%2B3%29%5E2%29=abs%28R%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now if you make the claim that R is a nonnegative number, then you can say <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28R%2B3%29%5E2%29=R%2B3 ALIGN=MIDDLE  ALT=\"sqrt%28%28R%2B3%29%5E2%29=R%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > because you won't have to worry about negative numbers.\r<BR>\n" );
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document.write( "Jim </SPAN>\n" );
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