# Why does #sqrt(x^2)=absx# and not simply #x#?

##### 1 Answer

See below:

#### Explanation:

Let's take a quick example and see why

Let's set

What should be in the question mark spaces? In both these cases, we can end up with the original value of

Since we can get either the same sign or the opposite sign from this operation, we need to show it in our general formula. One way to do it would be to say something like