# Square roots review

Review square roots, and try some practice problems.

### Square roots

The square root of a number is the factor that we can multiply by itself to get that number.

The symbol for square root is .

Finding the square root of a number is the opposite of squaring a number.

**Example:**

or

So

If the square root is a whole number, it is called a perfect square! In this example, is a perfect square because its square root is a whole number.

*Want to learn more about finding square roots? Check out this video.*

## Finding square roots

If we can't figure out what factor multiplied by itself will result in the given number, we can make a factor tree.

**Example:**

Here is the factor tree for :

So the prime factorization of is .

We're looking for , so we want to split the prime factors into two identical groups.

Notice that we can rearrange the factors like so:

So .

So, is .

## Practice

*Want to try more problems like this? Check out this exercise:*Finding square roots

*Or this challenge exercise:*Equations with square and cube roots