Simplify Square Root of 6916

Here we will show you step-by-step how to simplify the square root of 6916. The square root of 6916 can be written as follows:


	√	6916

The √ symbol is called the radical sign. To simplify the square root of 6916 means to get the simplest radical form of √6916.

Step 1: List Factors
List the factors of 6916 like so:

1, 2, 4, 7, 13, 14, 19, 26, 28, 38, 52, 76, 91, 133, 182, 247, 266, 364, 494, 532, 988, 1729, 3458, 6916

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

1, 4

Step 3: Divide
Divide 6916 by the largest perfect square you found in the previous step:

6916 / 4 = 1729

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 6916 in its simplest form:


2	√	1729

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Decimal Form
Square Root of 6916 in Decimal form rounded to nearest 5 decimals:

83.16249

Exponent Form
Square Root of 6916 written with Exponent instead of Radical:

6916^½ = 2 x 1729^½

Simplify Square Root of 6917
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* List of Perfect Squares