Simplify Square Root of 4228

Here we will show you step-by-step how to simplify the square root of 4228. The square root of 4228 can be written as follows:


	√	4228

The √ symbol is called the radical sign. To simplify the square root of 4228 means to get the simplest radical form of √4228.

Step 1: List Factors
List the factors of 4228 like so:

1, 2, 4, 7, 14, 28, 151, 302, 604, 1057, 2114, 4228

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

1, 4

Step 3: Divide
Divide 4228 by the largest perfect square you found in the previous step:

4228 / 4 = 1057

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 4228 in its simplest form:


2	√	1057

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Decimal Form
Square Root of 4228 in Decimal form rounded to nearest 5 decimals:

65.02307

Exponent Form
Square Root of 4228 written with Exponent instead of Radical:

4228^½ = 2 x 1057^½

Simplify Square Root of 4229
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* List of Perfect Squares