Simplify Square Root of 225

Here we will show you step-by-step how to simplify the square root of 225. The square root of 225 can be written as follows:


	√	225

The √ symbol is called the radical sign. To simplify the square root of 225 means to get the simplest radical form of √225.

Step 1: List Factors
List the factors of 81 like so:

1, 3, 5, 9, 15, 25, 45, 75, 225

Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:

1, 9, 25, 225

Since 225 is on the list of perfect squares above, it means that 225 is a perfect square.

That means you can simplify the square root of 225 without the radical as follows:

15

Furthermore, you may also be interested to know that the square root of 225 can be written with an Exponent like this:

225^½

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Simplify Square Root of 226
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* List of Perfect Squares