Simplify Square Root of 6880

Here we will show you step-by-step how to simplify the square root of 6880. The square root of 6880 can be written as follows:


	√	6880

The √ symbol is called the radical sign. To simplify the square root of 6880 means to get the simplest radical form of √6880.

Step 1: List Factors
List the factors of 6880 like so:

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 43, 80, 86, 160, 172, 215, 344, 430, 688, 860, 1376, 1720, 3440, 6880

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

1, 4, 16

Step 3: Divide
Divide 6880 by the largest perfect square you found in the previous step:

6880 / 16 = 430

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 6880 in its simplest form:


4	√	430

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Decimal Form
Square Root of 6880 in Decimal form rounded to nearest 5 decimals:

82.94577

Exponent Form
Square Root of 6880 written with Exponent instead of Radical:

6880^½ = 4 x 430^½

Simplify Square Root of 6881
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* List of Perfect Squares