Simplify Square Root of 6956

Here we will show you step-by-step how to simplify the square root of 6956. The square root of 6956 can be written as follows:


	√	6956

The √ symbol is called the radical sign. To simplify the square root of 6956 means to get the simplest radical form of √6956.

Step 1: List Factors
List the factors of 6956 like so:

1, 2, 4, 37, 47, 74, 94, 148, 188, 1739, 3478, 6956

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

1, 4

Step 3: Divide
Divide 6956 by the largest perfect square you found in the previous step:

6956 / 4 = 1739

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 6956 in its simplest form:


2	√	1739

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Decimal Form
Square Root of 6956 in Decimal form rounded to nearest 5 decimals:

83.40264

Exponent Form
Square Root of 6956 written with Exponent instead of Radical:

6956^½ = 2 x 1739^½

Simplify Square Root of 6957
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* List of Perfect Squares