Simplify Square Root of 6696

Here we will show you step-by-step how to simplify the square root of 6696. The square root of 6696 can be written as follows:


	√	6696

The √ symbol is called the radical sign. To simplify the square root of 6696 means to get the simplest radical form of √6696.

Step 1: List Factors
List the factors of 6696 like so:

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 31, 36, 54, 62, 72, 93, 108, 124, 186, 216, 248, 279, 372, 558, 744, 837, 1116, 1674, 2232, 3348, 6696

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

1, 4, 9, 36

Step 3: Divide
Divide 6696 by the largest perfect square you found in the previous step:

6696 / 36 = 186

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

√36 = 6

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 6696 in its simplest form:


6	√	186

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Decimal Form
Square Root of 6696 in Decimal form rounded to nearest 5 decimals:

81.82909

Exponent Form
Square Root of 6696 written with Exponent instead of Radical:

6696^½ = 6 x 186^½

Simplify Square Root of 6697
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* List of Perfect Squares