Question

|\sqrt{2} - 1|
When you remove the absolute bars from this, you get:
|\sqrt{2} + 1|, right?
|\sqrt{2} - 1|
When you remove the absolute bars from this, you get:
|\sqrt{2} + 1|, right?
@Mathematics

Answer 1

I meant:
\sqrt{2} + 1

Answer 2

no - but it can be sqrt(2) - 1 or -(sqrt(2) - 1)

Answer 3

How?

Answer 4

By definition

|x| = x, if x > 0
0, if x = 0
-x, if x < 0

Answer 5

Now \( \sqrt{2} - 1 > 0 \) hence \( | \sqrt(2) - 1 | = \sqrt{2} - 1 \).

Answer 6

What perhaps you're thinking of is this:
\[\frac{1}{\sqrt{2}-1} = \frac{1}{\sqrt{2}-1} . \frac{\sqrt{2}+1}{\sqrt{2}+1} = \frac{\sqrt{2}+1}{2 - 1} = \sqrt{2} + 1\]