Simplify Square Root of 8772

Here we will show you step-by-step how to simplify the square root of 8772. The square root of 8772 can be written as follows:


	√	8772

The √ symbol is called the radical sign. To simplify the square root of 8772 means to get the simplest radical form of √8772.

Step 1: List Factors
List the factors of 8772 like so:

1, 2, 3, 4, 6, 12, 17, 34, 43, 51, 68, 86, 102, 129, 172, 204, 258, 516, 731, 1462, 2193, 2924, 4386, 8772

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

1, 4

Step 3: Divide
Divide 8772 by the largest perfect square you found in the previous step:

8772 / 4 = 2193

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 8772 in its simplest form:


2	√	2193

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Decimal Form
Square Root of 8772 in Decimal form rounded to nearest 5 decimals:

93.65896

Exponent Form
Square Root of 8772 written with Exponent instead of Radical:

8772^½ = 2 x 2193^½

Simplify Square Root of 8773
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* List of Perfect Squares