Simplify Square Root of 6876

Here we will show you step-by-step how to simplify the square root of 6876. The square root of 6876 can be written as follows:


	√	6876

The √ symbol is called the radical sign. To simplify the square root of 6876 means to get the simplest radical form of √6876.

Step 1: List Factors
List the factors of 6876 like so:

1, 2, 3, 4, 6, 9, 12, 18, 36, 191, 382, 573, 764, 1146, 1719, 2292, 3438, 6876

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

1, 4, 9, 36

Step 3: Divide
Divide 6876 by the largest perfect square you found in the previous step:

6876 / 36 = 191

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

√36 = 6

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 6876 in its simplest form:


6	√	191

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Decimal Form
Square Root of 6876 in Decimal form rounded to nearest 5 decimals:

82.92165

Exponent Form
Square Root of 6876 written with Exponent instead of Radical:

6876^½ = 6 x 191^½

Simplify Square Root of 6877
The answer to Simplify Square Root of 6876 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares