Simplify Square Root of 3168

Here we will show you step-by-step how to simplify the square root of 3168. The square root of 3168 can be written as follows:


	√	3168

The √ symbol is called the radical sign. To simplify the square root of 3168 means to get the simplest radical form of √3168.

Step 1: List Factors
List the factors of 3168 like so:

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 32, 33, 36, 44, 48, 66, 72, 88, 96, 99, 132, 144, 176, 198, 264, 288, 352, 396, 528, 792, 1056, 1584, 3168

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

1, 4, 9, 16, 36, 144

Step 3: Divide
Divide 3168 by the largest perfect square you found in the previous step:

3168 / 144 = 22

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

√144 = 12

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 3168 in its simplest form:


12	√	22

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Decimal Form
Square Root of 3168 in Decimal form rounded to nearest 5 decimals:

56.28499

Exponent Form
Square Root of 3168 written with Exponent instead of Radical:

3168^½ = 12 x 22^½

Simplify Square Root of 3169
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* List of Perfect Squares