Simplify Square Root of 6966

Here we will show you step-by-step how to simplify the square root of 6966. The square root of 6966 can be written as follows:


	√	6966

The √ symbol is called the radical sign. To simplify the square root of 6966 means to get the simplest radical form of √6966.

Step 1: List Factors
List the factors of 6966 like so:

1, 2, 3, 6, 9, 18, 27, 43, 54, 81, 86, 129, 162, 258, 387, 774, 1161, 2322, 3483, 6966

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

1, 9, 81

Step 3: Divide
Divide 6966 by the largest perfect square you found in the previous step:

6966 / 81 = 86

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

√81 = 9

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 6966 in its simplest form:


9	√	86

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Decimal Form
Square Root of 6966 in Decimal form rounded to nearest 5 decimals:

83.46257

Exponent Form
Square Root of 6966 written with Exponent instead of Radical:

6966^½ = 9 x 86^½

Simplify Square Root of 6967
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* List of Perfect Squares