Simplify Square Root of 8932

Here we will show you step-by-step how to simplify the square root of 8932. The square root of 8932 can be written as follows:


	√	8932

The √ symbol is called the radical sign. To simplify the square root of 8932 means to get the simplest radical form of √8932.

Step 1: List Factors
List the factors of 8932 like so:

1, 2, 4, 7, 11, 14, 22, 28, 29, 44, 58, 77, 116, 154, 203, 308, 319, 406, 638, 812, 1276, 2233, 4466, 8932

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

1, 4

Step 3: Divide
Divide 8932 by the largest perfect square you found in the previous step:

8932 / 4 = 2233

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 8932 in its simplest form:


2	√	2233

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Decimal Form
Square Root of 8932 in Decimal form rounded to nearest 5 decimals:

94.50926

Exponent Form
Square Root of 8932 written with Exponent instead of Radical:

8932^½ = 2 x 2233^½

Simplify Square Root of 8933
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* List of Perfect Squares