How do I rewrite expressions using absolute value?

[mathdad]

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?

 

[HallsofIvy]

Yes, this is correct.