Simplify Square Root of 8828

Here we will show you step-by-step how to simplify the square root of 8828. The square root of 8828 can be written as follows:


	√	8828

The √ symbol is called the radical sign. To simplify the square root of 8828 means to get the simplest radical form of √8828.

Step 1: List Factors
List the factors of 8828 like so:

1, 2, 4, 2207, 4414, 8828

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

1, 4

Step 3: Divide
Divide 8828 by the largest perfect square you found in the previous step:

8828 / 4 = 2207

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 8828 in its simplest form:


2	√	2207

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Decimal Form
Square Root of 8828 in Decimal form rounded to nearest 5 decimals:

93.95744

Exponent Form
Square Root of 8828 written with Exponent instead of Radical:

8828^½ = 2 x 2207^½

Simplify Square Root of 8829
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* List of Perfect Squares