Simplify Square Root of 6723

Here we will show you step-by-step how to simplify the square root of 6723. The square root of 6723 can be written as follows:


	√	6723

The √ symbol is called the radical sign. To simplify the square root of 6723 means to get the simplest radical form of √6723.

Step 1: List Factors
List the factors of 6723 like so:

1, 3, 9, 27, 81, 83, 249, 747, 2241, 6723

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

1, 9, 81

Step 3: Divide
Divide 6723 by the largest perfect square you found in the previous step:

6723 / 81 = 83

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

√81 = 9

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 6723 in its simplest form:


9	√	83

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Decimal Form
Square Root of 6723 in Decimal form rounded to nearest 5 decimals:

81.9939

Exponent Form
Square Root of 6723 written with Exponent instead of Radical:

6723^½ = 9 x 83^½

Simplify Square Root of 6724
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* List of Perfect Squares