Question

How do you simplify: square root of (x^2 - 4x +4)?

Answer 1

`sqrt(x^2-4x+4) = sqrt((x-2)^2) = abs(x-2)`

Explanation:

Note that `x^2-4x+4 = (x-2)^2` has two square roots,
namely `(x-2)` and `-(x-2)`.

Since we use `sqrt` to denote the positive square root, we need to pick whichever is non-negative of `(x-2)` and `-(x-2)`.

We can express that as `abs(x-2)`