Simplify Square Root of 1225

Here we will show you step-by-step how to simplify the square root of 1225. The square root of 1225 can be written as follows:


	√	1225

The √ symbol is called the radical sign. To simplify the square root of 1225 means to get the simplest radical form of √1225.

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

1, 5, 7, 25, 35, 49, 175, 245, 1225

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

1, 25, 49, 1225

Since 1225 is on the list of perfect squares above, it means that 1225 is a perfect square.

That means you can simplify the square root of 1225 without the radical as follows:

35

Furthermore, you may also be interested to know that the square root of 1225 can be written with an Exponent like this:

1225^½

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Simplify Square Root of 1226
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* List of Perfect Squares