Simplify Square Root of 6764

Here we will show you step-by-step how to simplify the square root of 6764. The square root of 6764 can be written as follows:


	√	6764

The √ symbol is called the radical sign. To simplify the square root of 6764 means to get the simplest radical form of √6764.

Step 1: List Factors
List the factors of 6764 like so:

1, 2, 4, 19, 38, 76, 89, 178, 356, 1691, 3382, 6764

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

1, 4

Step 3: Divide
Divide 6764 by the largest perfect square you found in the previous step:

6764 / 4 = 1691

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

√4 = 2

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 6764 in its simplest form:


2	√	1691

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Decimal Form
Square Root of 6764 in Decimal form rounded to nearest 5 decimals:

82.24354

Exponent Form
Square Root of 6764 written with Exponent instead of Radical:

6764^½ = 2 x 1691^½

Simplify Square Root of 6765
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* List of Perfect Squares