Simplify Square Root of 8100

Here we will show you step-by-step how to simplify the square root of 8100. The square root of 8100 can be written as follows:


	√	8100

The √ symbol is called the radical sign. To simplify the square root of 8100 means to get the simplest radical form of √8100.

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

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 81, 90, 100, 108, 135, 150, 162, 180, 225, 270, 300, 324, 405, 450, 540, 675, 810, 900, 1350, 1620, 2025, 2700, 4050, 8100

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

1, 4, 9, 25, 36, 81, 100, 225, 324, 900, 2025, 8100

Since 8100 is on the list of perfect squares above, it means that 8100 is a perfect square.

That means you can simplify the square root of 8100 without the radical as follows:

90

Furthermore, you may also be interested to know that the square root of 8100 can be written with an Exponent like this:

8100^½

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Simplify Square Root of 8101
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* List of Perfect Squares