document.write( "Question 552673: I've solved $\"+sqrt%28+z%5E2%2B8z%2B16+%29+\"$ but I need help getting a better understanding about why/when you put absolute value signs. Can you please help? Thanks! \n" ); document.write( "

Algebra.Com's Answer #360473 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
Recall that the square root of a quantity always gives two answers, a positive answer and a negative answer.
\n" ); document.write( "If you want to indicate that only yhe positive answer applies, then you would us the absolute value sign.
\n" ); document.write( "Example, to indicate that only the positive answer applies:
\n" ); document.write( " $\"sqrt%28x%5E2%29+=+abs%28x%29\"$
\n" ); document.write( "In your problem:
\n" ); document.write( " $\"sqrt%28z%5E2%2B8z%2B16%29+=+sqrt%28%28z%2B4%29%5E2%29\"$ = $\"abs%28z%2B4%29\"$ \n" ); document.write( "

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