document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=32745>Question 32745</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2)	Is sqrt x^2 = x   an identity (true for all values of x)? Explain answer please? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #19367 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=19367\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Is sqrt x^2 = x an identity (true for all values of x)? Explain answer please?<BR>\n" );
document.write( "IN MATHS AS A RULE/COVENTION WE TAKE SQRT(A) AS THE POSITIVE VALUE ONLY.THAT IS SQRT(4) IS TAKEN AS +2 ONLY.,THOUGH -2 IS ALSO POSSIBLE,UNLESS OTHERWISE INDICATED.<BR>\n" );
document.write( "CASE 1....X IS POSITIVE<BR>\n" );
document.write( "SO WE GET LHS=SQRT.(X^2)=+X\r<BR>\n" );
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document.write( "RHS =+ X...\r<BR>\n" );
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document.write( "SO WE HAVE X=X WHICH IS AN IDENTITY AS IT IS TRUE FOR ANY VALUE OF X.<BR>\n" );
document.write( "CASE 2......X IS NEGATIVE <BR>\n" );
document.write( "SO WE GET LHS=SQRT.{(-X)^2}=SQRT.(X^2)=+X\r<BR>\n" );
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document.write( "RHS = -X...\r<BR>\n" );
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document.write( "SO WE HAVE X=-X WHICH IS NOT  AN IDENTITY AS IT IS TRUE FOR ONLY X=0 </SPAN>\n" );
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