Simplify Square Root of 6812

Here we will show you step-by-step how to simplify the square root of 6812. The square root of 6812 can be written as follows:


	√	6812

The √ symbol is called the radical sign. To simplify the square root of 6812 means to get the simplest radical form of √6812.

Step 1: List Factors
List the factors of 6812 like so:

1, 2, 4, 13, 26, 52, 131, 262, 524, 1703, 3406, 6812

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

1, 4

Step 3: Divide
Divide 6812 by the largest perfect square you found in the previous step:

6812 / 4 = 1703

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 6812 in its simplest form:


2	√	1703

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Decimal Form
Square Root of 6812 in Decimal form rounded to nearest 5 decimals:

82.53484

Exponent Form
Square Root of 6812 written with Exponent instead of Radical:

6812^½ = 2 x 1703^½

Simplify Square Root of 6813
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* List of Perfect Squares