document.write( "Question 63812: I don't understand this question. \r
\n" ); document.write( "\n" ); document.write( "Is $\"sqrt%28x%5E2%29=x\"$ an identity (true for all values of x)? Explain your answer. \n" ); document.write( "

Algebra.Com's Answer #44530 by sarahschober(35) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"sqrt%28x%5E2%29\"$ does not necessarily equal x.
\n" ); document.write( "The equality holds for non-negative x, but when x < 0, $\"sqrt%28x%5E2%29\"$
\n" ); document.write( "is positive by definition, and thus $\"sqrt%28x%5E2%29=+-x\"$
\n" ); document.write( "Therefore, $\"sqrt%28x%5E2%29\"$ = the absolute value of x. \n" ); document.write( "

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