Simplify Square Root of 6928

Here we will show you step-by-step how to simplify the square root of 6928. The square root of 6928 can be written as follows:


	√	6928

The √ symbol is called the radical sign. To simplify the square root of 6928 means to get the simplest radical form of √6928.

Step 1: List Factors
List the factors of 6928 like so:

1, 2, 4, 8, 16, 433, 866, 1732, 3464, 6928

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

1, 4, 16

Step 3: Divide
Divide 6928 by the largest perfect square you found in the previous step:

6928 / 16 = 433

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 6928 in its simplest form:


4	√	433

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Decimal Form
Square Root of 6928 in Decimal form rounded to nearest 5 decimals:

83.23461

Exponent Form
Square Root of 6928 written with Exponent instead of Radical:

6928^½ = 4 x 433^½

Simplify Square Root of 6929
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* List of Perfect Squares