mathdad
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The definition of absolute value states the following:
| x | = x when x is > or = 0
| x | = -x when x < 0
I can use the above definition to rewrite expressions that do not contain absolute values.
| 1 - sqrt{2} | + 1
The value 1 - sqrt{2} is less than 0.
So, we have -(1 - sqrt{2}) + 1.
-1 + sqrt{2} + 1
Answer: sqrt{2}
Correct?
| x | = x when x is > or = 0
| x | = -x when x < 0
I can use the above definition to rewrite expressions that do not contain absolute values.
| 1 - sqrt{2} | + 1
The value 1 - sqrt{2} is less than 0.
So, we have -(1 - sqrt{2}) + 1.
-1 + sqrt{2} + 1
Answer: sqrt{2}
Correct?