Simplify Square Root of 6912

Here we will show you step-by-step how to simplify the square root of 6912. The square root of 6912 can be written as follows:


	√	6912

The √ symbol is called the radical sign. To simplify the square root of 6912 means to get the simplest radical form of √6912.

Step 1: List Factors
List the factors of 6912 like so:

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 96, 108, 128, 144, 192, 216, 256, 288, 384, 432, 576, 768, 864, 1152, 1728, 2304, 3456, 6912

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

1, 4, 9, 16, 36, 64, 144, 256, 576, 2304

Step 3: Divide
Divide 6912 by the largest perfect square you found in the previous step:

6912 / 2304 = 3

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

√2304 = 48

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 6912 in its simplest form:


48	√	3

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Decimal Form
Square Root of 6912 in Decimal form rounded to nearest 5 decimals:

83.13844

Exponent Form
Square Root of 6912 written with Exponent instead of Radical:

6912^½ = 48 x 3^½

Simplify Square Root of 6913
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* List of Perfect Squares