Simplify Square Root of 6684

Here we will show you step-by-step how to simplify the square root of 6684. The square root of 6684 can be written as follows:


	√	6684

The √ symbol is called the radical sign. To simplify the square root of 6684 means to get the simplest radical form of √6684.

Step 1: List Factors
List the factors of 6684 like so:

1, 2, 3, 4, 6, 12, 557, 1114, 1671, 2228, 3342, 6684

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

1, 4

Step 3: Divide
Divide 6684 by the largest perfect square you found in the previous step:

6684 / 4 = 1671

Step 4: Calculate
Calculate the square root of the largest perfect square:

√4 = 2

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 6684 in its simplest form:


2	√	1671

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Decimal Form
Square Root of 6684 in Decimal form rounded to nearest 5 decimals:

81.75573

Exponent Form
Square Root of 6684 written with Exponent instead of Radical:

6684^½ = 2 x 1671^½

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* List of Perfect Squares