# How do you simplify #sqrt((a +2)^2)#?

##### 3 Answers

#### Answer:

#### Explanation:

#### Answer:

#### Explanation:

If

then

If

then

#### Answer:

#### Explanation:

A square root of a number

Any non-zero number *principal* square root is

If

If

Hence we find that the square roots of

Which of

We can automatically choose between the two using the absolute value and write:

#sqrt((a+2)^2) = abs(a+2)#