# What is the square root of (-12)^2?

##### 2 Answers

The square root of anything squared is itself, almost always.

#### Explanation:

When you square something, essentially you are multiplying it by itself. For instance,

Way one: we assume that every square root will be positive. This is the easiest way, but it’s not the most accurate. In this case, the answer to

Way two is only a little bit more complicated. We assume that every square root could be either negative or positive, so the answer to

Please see below.

#### Explanation:

The question makes an assumption that is not, in general, warranted.

The phrase "the square root" indicates that only one answer is expected.

Now we might assume that the real question is "What is the principal square root of

Note that for non-negative real

The definition of a square root is:

So every positive number has 2 square roots. It has a positive square root (the principal square root) and a negative square root.

The two square roots of

The two solutions two