Simplify Square Root of 5184

Here we will show you step-by-step how to simplify the square root of 5184. The square root of 5184 can be written as follows:


	√	5184

The √ symbol is called the radical sign. To simplify the square root of 5184 means to get the simplest radical form of √5184.

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

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 81, 96, 108, 144, 162, 192, 216, 288, 324, 432, 576, 648, 864, 1296, 1728, 2592, 5184

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

1, 4, 9, 16, 36, 64, 81, 144, 324, 576, 1296, 5184

Since 5184 is on the list of perfect squares above, it means that 5184 is a perfect square.

That means you can simplify the square root of 5184 without the radical as follows:

72

Furthermore, you may also be interested to know that the square root of 5184 can be written with an Exponent like this:

5184^½

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* List of Perfect Squares