Simplify Square Root of 2304

Here we will show you step-by-step how to simplify the square root of 2304. The square root of 2304 can be written as follows:


	√	2304

The √ symbol is called the radical sign. To simplify the square root of 2304 means to get the simplest radical form of √2304.

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

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 256, 288, 384, 576, 768, 1152, 2304

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

1, 4, 9, 16, 36, 64, 144, 256, 576, 2304

Since 2304 is on the list of perfect squares above, it means that 2304 is a perfect square.

That means you can simplify the square root of 2304 without the radical as follows:

48

Furthermore, you may also be interested to know that the square root of 2304 can be written with an Exponent like this:

2304^½

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Simplify Square Root of 2305
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* List of Perfect Squares