Simplify Square Root of 6664

Here we will show you step-by-step how to simplify the square root of 6664. The square root of 6664 can be written as follows:


	√	6664

The √ symbol is called the radical sign. To simplify the square root of 6664 means to get the simplest radical form of √6664.

Step 1: List Factors
List the factors of 6664 like so:

1, 2, 4, 7, 8, 14, 17, 28, 34, 49, 56, 68, 98, 119, 136, 196, 238, 392, 476, 833, 952, 1666, 3332, 6664

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

1, 4, 49, 196

Step 3: Divide
Divide 6664 by the largest perfect square you found in the previous step:

6664 / 196 = 34

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

√196 = 14

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 6664 in its simplest form:


14	√	34

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Decimal Form
Square Root of 6664 in Decimal form rounded to nearest 5 decimals:

81.63333

Exponent Form
Square Root of 6664 written with Exponent instead of Radical:

6664^½ = 14 x 34^½

Simplify Square Root of 6665
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* List of Perfect Squares