Simplify Square Root of 6944

Here we will show you step-by-step how to simplify the square root of 6944. The square root of 6944 can be written as follows:


	√	6944

The √ symbol is called the radical sign. To simplify the square root of 6944 means to get the simplest radical form of √6944.

Step 1: List Factors
List the factors of 6944 like so:

1, 2, 4, 7, 8, 14, 16, 28, 31, 32, 56, 62, 112, 124, 217, 224, 248, 434, 496, 868, 992, 1736, 3472, 6944

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

1, 4, 16

Step 3: Divide
Divide 6944 by the largest perfect square you found in the previous step:

6944 / 16 = 434

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

√16 = 4

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 6944 in its simplest form:


4	√	434

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Decimal Form
Square Root of 6944 in Decimal form rounded to nearest 5 decimals:

83.33067

Exponent Form
Square Root of 6944 written with Exponent instead of Radical:

6944^½ = 4 x 434^½

Simplify Square Root of 6945
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* List of Perfect Squares