Simplify Square Root of 6976

Here we will show you step-by-step how to simplify the square root of 6976. The square root of 6976 can be written as follows:


	√	6976

The √ symbol is called the radical sign. To simplify the square root of 6976 means to get the simplest radical form of √6976.

Step 1: List Factors
List the factors of 6976 like so:

1, 2, 4, 8, 16, 32, 64, 109, 218, 436, 872, 1744, 3488, 6976

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

1, 4, 16, 64

Step 3: Divide
Divide 6976 by the largest perfect square you found in the previous step:

6976 / 64 = 109

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

√64 = 8

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 6976 in its simplest form:


8	√	109

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Decimal Form
Square Root of 6976 in Decimal form rounded to nearest 5 decimals:

83.52245

Exponent Form
Square Root of 6976 written with Exponent instead of Radical:

6976^½ = 8 x 109^½

Simplify Square Root of 6977
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* List of Perfect Squares