SOLUTION: I am supposed to evaluate the absolute value and rewrite each expression without absolute value bars. { { { | sqrt( 3 )-1 } } } I am confused on how to do this.

Algebra ->  Absolute-value -> SOLUTION: I am supposed to evaluate the absolute value and rewrite each expression without absolute value bars. { { { | sqrt( 3 )-1 } } } I am confused on how to do this.      Log On


   

Question 659265: I am supposed to evaluate the absolute value and rewrite each expression without absolute value bars. { { { | sqrt( 3 )-1 } } } I am confused on how to do this.
Found 2 solutions by stanbon, MathLover1:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
I am supposed to evaluate the absolute value and rewrite each expression without absolute value bars. { { { | sqrt( 3 )-1 } } } I am confused on how to do this.
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Comment: sqrt(3)-1 has a positive value
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So |sqrt(3)-1| = sqrt(3)-1
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Cheers,
Stan H.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
+abs%28sqrt%28+3+%29-1%29+ .......the absolute value is the distance of a quantity from zero, regardless of a sign
in your case abs%28sqrt%283%29-1%29 is equal to:
+sqrt%283%29-1+ and +-%28sqrt%28+3+%29-1%29+

So, the absolute value of +sqrt%28+3+%29-1+ is +sqrt%28+3+%29-1+, and the absolute value of +-%28sqrt%28+3+%29-1%29+ is also +abs%28sqrt%28+3+%29-1%29+.
The symbol "|" is placed either side to mean "Absolute Value", so we can write:
+abs%28sqrt%28+3+%29-1%29+ = +sqrt%28+3+%29-1+