Simplify Square Root of 6636

Here we will show you step-by-step how to simplify the square root of 6636. The square root of 6636 can be written as follows:


	√	6636

The √ symbol is called the radical sign. To simplify the square root of 6636 means to get the simplest radical form of √6636.

Step 1: List Factors
List the factors of 6636 like so:

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 79, 84, 158, 237, 316, 474, 553, 948, 1106, 1659, 2212, 3318, 6636

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

1, 4

Step 3: Divide
Divide 6636 by the largest perfect square you found in the previous step:

6636 / 4 = 1659

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 6636 in its simplest form:


2	√	1659

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Decimal Form
Square Root of 6636 in Decimal form rounded to nearest 5 decimals:

81.46165

Exponent Form
Square Root of 6636 written with Exponent instead of Radical:

6636^½ = 2 x 1659^½

Simplify Square Root of 6637
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* List of Perfect Squares