Simplify Square Root of 3192

Here we will show you step-by-step how to simplify the square root of 3192. The square root of 3192 can be written as follows:


	√	3192

The √ symbol is called the radical sign. To simplify the square root of 3192 means to get the simplest radical form of √3192.

Step 1: List Factors
List the factors of 3192 like so:

1, 2, 3, 4, 6, 7, 8, 12, 14, 19, 21, 24, 28, 38, 42, 56, 57, 76, 84, 114, 133, 152, 168, 228, 266, 399, 456, 532, 798, 1064, 1596, 3192

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

1, 4

Step 3: Divide
Divide 3192 by the largest perfect square you found in the previous step:

3192 / 4 = 798

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 3192 in its simplest form:


2	√	798

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Decimal Form
Square Root of 3192 in Decimal form rounded to nearest 5 decimals:

56.49779

Exponent Form
Square Root of 3192 written with Exponent instead of Radical:

3192^½ = 2 x 798^½

Simplify Square Root of 3193
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* List of Perfect Squares