# Vierkantswortels - overzicht

Terugblik over vierkantswortels met een aantal oefenopgaven.

### 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 $\sqrt{ }$ .
Finding the square root of a number is the opposite of squaring a number.
Voorbeeld:
$\blueD4 \times \blueD4$ or $\blueD4^2$ $= \greenD{16}$
So $\sqrt{\greenD{16}} = \blueD4$
If the square root is a whole number, it is called a perfect square! In this example, $\greenD{16}$ is a perfect square because its square root is a whole number.

## 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.
Voorbeeld:
$\Large{\sqrt{36} = \text{?}}$
Here is the factor tree for $36$:
So the prime factorization of $36$ is $2\times 2\times 3\times 3$.
We zoeken $\sqrt{36}$, dus willen we de priemfactoren in twee identieke groepjes verdelen.
Notice that we can rearrange the factors like so:
$36 = 2 \times 2 \times 3 \times 3 = \left(2\times 3\right) \times \left(2 \times 3\right)$
Dus $\left(2\times 3\right)^2 = 6^2 = 36$.
So, $\sqrt{36}$ is $6$.

## Oefening

Want to try more problems like this? Check out this exercise: Finding square roots
Or this challenge exercise: Equations with square and cube roots