freeCodeCamp/guide/english/mathematics/algebra/simplify-square-roots/index.md

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title: Simplify Square Roots
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## Simplify Square Roots
In order to simplify square roots, it is important to know the radical product property.

![Image showing radical product property. The square root of A multiplied by the square root of B is equivalent to the square root of A multiplied by B.](https://raw.githubusercontent.com/hayleycd/images/master/multiplying_radicals.jpeg)

The Radical Product Property shows us that the square root of two numbers multiplied together is equivalent to the square root of the first number multiplied by the square root of the second.

The second important thing to know is the concept of Perfect Squares. When a whole number is multiplied by itself, a Perfect Square is the result.

![Image showing perfect squares. Examples of Perfect Squares Include 1, 4, 9, 25, 36 and more.](https://raw.githubusercontent.com/hayleycd/images/master/perfect_squares.jpeg)

A square root can be simplified if the number you are trying to take the square root of has a factor that is a perfect square. If it does, the Radical Product Property can be used to simplify. Examples below simplify the square root of 48 and simplify the square root of 75.

![Image showing the square root of 48 being simplified to 4 multiplied by the square root of 3 and the square root of 75 being simplified to 5 multiplied by the square root of 3.](https://raw.githubusercontent.com/hayleycd/images/master/radical_examples.jpeg)

#### More Information:
* [Khan Academy article on simplifying square roots](https://www.khanacademy.org/math/algebra/rational-exponents-and-radicals/alg1-simplify-square-roots/a/simplifying-square-roots-review)