Simplify Square Root of 8964

Here we will show you step-by-step how to simplify the square root of 8964. The square root of 8964 can be written as follows:


	√	8964

The √ symbol is called the radical sign. To simplify the square root of 8964 means to get the simplest radical form of √8964.

Step 1: List Factors
List the factors of 8964 like so:

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 83, 108, 166, 249, 332, 498, 747, 996, 1494, 2241, 2988, 4482, 8964

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

1, 4, 9, 36

Step 3: Divide
Divide 8964 by the largest perfect square you found in the previous step:

8964 / 36 = 249

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 8964 in its simplest form:


6	√	249

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Decimal Form
Square Root of 8964 in Decimal form rounded to nearest 5 decimals:

94.6784

Exponent Form
Square Root of 8964 written with Exponent instead of Radical:

8964^½ = 6 x 249^½

Simplify Square Root of 8965
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* List of Perfect Squares