Simplify Square Root of 3600

Here we will show you step-by-step how to simplify the square root of 3600. The square root of 3600 can be written as follows:


	√	3600

The √ symbol is called the radical sign. To simplify the square root of 3600 means to get the simplest radical form of √3600.

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

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 100, 120, 144, 150, 180, 200, 225, 240, 300, 360, 400, 450, 600, 720, 900, 1200, 1800, 3600

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

1, 4, 9, 16, 25, 36, 100, 144, 225, 400, 900, 3600

Since 3600 is on the list of perfect squares above, it means that 3600 is a perfect square.

That means you can simplify the square root of 3600 without the radical as follows:

60

Furthermore, you may also be interested to know that the square root of 3600 can be written with an Exponent like this:

3600^½

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Simplify Square Root of 3601
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* List of Perfect Squares