Simplify Square Root of 6708

Here we will show you step-by-step how to simplify the square root of 6708. The square root of 6708 can be written as follows:


	√	6708

The √ symbol is called the radical sign. To simplify the square root of 6708 means to get the simplest radical form of √6708.

Step 1: List Factors
List the factors of 6708 like so:

1, 2, 3, 4, 6, 12, 13, 26, 39, 43, 52, 78, 86, 129, 156, 172, 258, 516, 559, 1118, 1677, 2236, 3354, 6708

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

1, 4

Step 3: Divide
Divide 6708 by the largest perfect square you found in the previous step:

6708 / 4 = 1677

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 6708 in its simplest form:


2	√	1677

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Decimal Form
Square Root of 6708 in Decimal form rounded to nearest 5 decimals:

81.90238

Exponent Form
Square Root of 6708 written with Exponent instead of Radical:

6708^½ = 2 x 1677^½

Simplify Square Root of 6709
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* List of Perfect Squares