Simplify Square Root of 8228

Here we will show you step-by-step how to simplify the square root of 8228. The square root of 8228 can be written as follows:


	√	8228

The √ symbol is called the radical sign. To simplify the square root of 8228 means to get the simplest radical form of √8228.

Step 1: List Factors
List the factors of 8228 like so:

1, 2, 4, 11, 17, 22, 34, 44, 68, 121, 187, 242, 374, 484, 748, 2057, 4114, 8228

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

1, 4, 121, 484

Step 3: Divide
Divide 8228 by the largest perfect square you found in the previous step:

8228 / 484 = 17

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

√484 = 22

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 8228 in its simplest form:


22	√	17

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Decimal Form
Square Root of 8228 in Decimal form rounded to nearest 5 decimals:

90.70832

Exponent Form
Square Root of 8228 written with Exponent instead of Radical:

8228^½ = 22 x 17^½

Simplify Square Root of 8229
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* List of Perfect Squares