Simplify Square Root of 6728

Here we will show you step-by-step how to simplify the square root of 6728. The square root of 6728 can be written as follows:


	√	6728

The √ symbol is called the radical sign. To simplify the square root of 6728 means to get the simplest radical form of √6728.

Step 1: List Factors
List the factors of 6728 like so:

1, 2, 4, 8, 29, 58, 116, 232, 841, 1682, 3364, 6728

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

1, 4, 841, 3364

Step 3: Divide
Divide 6728 by the largest perfect square you found in the previous step:

6728 / 3364 = 2

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

√3364 = 58

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 6728 in its simplest form:


58	√	2

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Decimal Form
Square Root of 6728 in Decimal form rounded to nearest 5 decimals:

82.02439

Exponent Form
Square Root of 6728 written with Exponent instead of Radical:

6728^½ = 58 x 2^½

Simplify Square Root of 6729
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* List of Perfect Squares