Simplify Square Root of 6828

Here we will show you step-by-step how to simplify the square root of 6828. The square root of 6828 can be written as follows:


	√	6828

The √ symbol is called the radical sign. To simplify the square root of 6828 means to get the simplest radical form of √6828.

Step 1: List Factors
List the factors of 6828 like so:

1, 2, 3, 4, 6, 12, 569, 1138, 1707, 2276, 3414, 6828

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

1, 4

Step 3: Divide
Divide 6828 by the largest perfect square you found in the previous step:

6828 / 4 = 1707

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 6828 in its simplest form:


2	√	1707

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Decimal Form
Square Root of 6828 in Decimal form rounded to nearest 5 decimals:

82.63171

Exponent Form
Square Root of 6828 written with Exponent instead of Radical:

6828^½ = 2 x 1707^½

Simplify Square Root of 6829
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* List of Perfect Squares