Simplify Square Root of 6804

Here we will show you step-by-step how to simplify the square root of 6804. The square root of 6804 can be written as follows:


	√	6804

The √ symbol is called the radical sign. To simplify the square root of 6804 means to get the simplest radical form of √6804.

Step 1: List Factors
List the factors of 6804 like so:

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 81, 84, 108, 126, 162, 189, 243, 252, 324, 378, 486, 567, 756, 972, 1134, 1701, 2268, 3402, 6804

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

1, 4, 9, 36, 81, 324

Step 3: Divide
Divide 6804 by the largest perfect square you found in the previous step:

6804 / 324 = 21

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

√324 = 18

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 6804 in its simplest form:


18	√	21

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Decimal Form
Square Root of 6804 in Decimal form rounded to nearest 5 decimals:

82.48636

Exponent Form
Square Root of 6804 written with Exponent instead of Radical:

6804^½ = 18 x 21^½

Simplify Square Root of 6805
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* List of Perfect Squares