Simplify Square Root of 6864

Here we will show you step-by-step how to simplify the square root of 6864. The square root of 6864 can be written as follows:


	√	6864

The √ symbol is called the radical sign. To simplify the square root of 6864 means to get the simplest radical form of √6864.

Step 1: List Factors
List the factors of 6864 like so:

1, 2, 3, 4, 6, 8, 11, 12, 13, 16, 22, 24, 26, 33, 39, 44, 48, 52, 66, 78, 88, 104, 132, 143, 156, 176, 208, 264, 286, 312, 429, 528, 572, 624, 858, 1144, 1716, 2288, 3432, 6864

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

1, 4, 16

Step 3: Divide
Divide 6864 by the largest perfect square you found in the previous step:

6864 / 16 = 429

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 6864 in its simplest form:


4	√	429

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Decimal Form
Square Root of 6864 in Decimal form rounded to nearest 5 decimals:

82.84926

Exponent Form
Square Root of 6864 written with Exponent instead of Radical:

6864^½ = 4 x 429^½

Simplify Square Root of 6865
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* List of Perfect Squares