---
title: Simplifying Square Roots
---
### Example: Simplify
Solution steps:
* Break 180 into product of prime number factors:
* Use product property of radicals
We cannot simplify square root of a prime number thus final answer:
### Example: Simplify
Solution steps:
* Break 1750 into product of prime number factors:
* Use product property of radicals and keep breaking down the results:
Now use product property again to combine radicals which cannot be simplified:
### Terminology:
Using √49 as an example:
* "√" is called **radical symbol**.
* 49 is called **radicand**.
#### More Information:
* [Wikihow, simplifying a square root](https://www.wikihow.com/Simplify-a-Square-Root)
* [Khan Academy](https://www.khanacademy.org/math/algebra/rational-exponents-and-radicals/alg1-simplify-square-roots/a/simplifying-square-roots-review)