SOLUTION: <pre><b>find the principal root __ <font face = "symbol">Ö</font>m²</pre></b>

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Question 72251:
find the principal root 
 __
Ö

Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
find the principal root 
 __
Öm²

The principle square root, always 
indicated by the radical Ö
is NEVER negative.  If it were 
known that m does not represent 
a negative number then the answer 
would be just m.  However we DO 
NOT know than m is not a negative 
number, so to make sure that we 
don't answer with a negative number,
we answer
 __
Öm² = |m|

The absolute value bars prevent the 
answer from being negative in case m 
hapens to represent a negative number.

Edwin