Simplify Square Root of 8976

Here we will show you step-by-step how to simplify the square root of 8976. The square root of 8976 can be written as follows:


	√	8976

The √ symbol is called the radical sign. To simplify the square root of 8976 means to get the simplest radical form of √8976.

Step 1: List Factors
List the factors of 8976 like so:

1, 2, 3, 4, 6, 8, 11, 12, 16, 17, 22, 24, 33, 34, 44, 48, 51, 66, 68, 88, 102, 132, 136, 176, 187, 204, 264, 272, 374, 408, 528, 561, 748, 816, 1122, 1496, 2244, 2992, 4488, 8976

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

1, 4, 16

Step 3: Divide
Divide 8976 by the largest perfect square you found in the previous step:

8976 / 16 = 561

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

√16 = 4

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 8976 in its simplest form:


4	√	561

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Decimal Form
Square Root of 8976 in Decimal form rounded to nearest 5 decimals:

94.74175

Exponent Form
Square Root of 8976 written with Exponent instead of Radical:

8976^½ = 4 x 561^½

Simplify Square Root of 8977
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* List of Perfect Squares