Simplify Square Root of 6724

Here we will show you step-by-step how to simplify the square root of 6724. The square root of 6724 can be written as follows:


	√	6724

The √ symbol is called the radical sign. To simplify the square root of 6724 means to get the simplest radical form of √6724.

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

1, 2, 4, 41, 82, 164, 1681, 3362, 6724

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

1, 4, 1681, 6724

Since 6724 is on the list of perfect squares above, it means that 6724 is a perfect square.

That means you can simplify the square root of 6724 without the radical as follows:

82

Furthermore, you may also be interested to know that the square root of 6724 can be written with an Exponent like this:

6724^½

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Simplify Square Root of 6725
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* List of Perfect Squares