Simplify Square Root of 6084

Here we will show you step-by-step how to simplify the square root of 6084. The square root of 6084 can be written as follows:


	√	6084

The √ symbol is called the radical sign. To simplify the square root of 6084 means to get the simplest radical form of √6084.

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

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 169, 234, 338, 468, 507, 676, 1014, 1521, 2028, 3042, 6084

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

1, 4, 9, 36, 169, 676, 1521, 6084

Since 6084 is on the list of perfect squares above, it means that 6084 is a perfect square.

That means you can simplify the square root of 6084 without the radical as follows:

78

Furthermore, you may also be interested to know that the square root of 6084 can be written with an Exponent like this:

6084^½

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Simplify Square Root of 6085
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* List of Perfect Squares