Simplify Square Root of 7225

Here we will show you step-by-step how to simplify the square root of 7225. The square root of 7225 can be written as follows:


	√	7225

The √ symbol is called the radical sign. To simplify the square root of 7225 means to get the simplest radical form of √7225.

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

1, 5, 17, 25, 85, 289, 425, 1445, 7225

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

1, 25, 289, 7225

Since 7225 is on the list of perfect squares above, it means that 7225 is a perfect square.

That means you can simplify the square root of 7225 without the radical as follows:

85

Furthermore, you may also be interested to know that the square root of 7225 can be written with an Exponent like this:

7225^½

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* List of Perfect Squares