Simplify Square Root of 8664

Here we will show you step-by-step how to simplify the square root of 8664. The square root of 8664 can be written as follows:


	√	8664

The √ symbol is called the radical sign. To simplify the square root of 8664 means to get the simplest radical form of √8664.

Step 1: List Factors
List the factors of 8664 like so:

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 361, 456, 722, 1083, 1444, 2166, 2888, 4332, 8664

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

1, 4, 361, 1444

Step 3: Divide
Divide 8664 by the largest perfect square you found in the previous step:

8664 / 1444 = 6

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

√1444 = 38

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 8664 in its simplest form:


38	√	6

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Decimal Form
Square Root of 8664 in Decimal form rounded to nearest 5 decimals:

93.08061

Exponent Form
Square Root of 8664 written with Exponent instead of Radical:

8664^½ = 38 x 6^½

Simplify Square Root of 8665
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* List of Perfect Squares