Simplify Square Root of 4008

Here we will show you step-by-step how to simplify the square root of 4008. The square root of 4008 can be written as follows:


	√	4008

The √ symbol is called the radical sign. To simplify the square root of 4008 means to get the simplest radical form of √4008.

Step 1: List Factors
List the factors of 4008 like so:

1, 2, 3, 4, 6, 8, 12, 24, 167, 334, 501, 668, 1002, 1336, 2004, 4008

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

1, 4

Step 3: Divide
Divide 4008 by the largest perfect square you found in the previous step:

4008 / 4 = 1002

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 4008 in its simplest form:


2	√	1002

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Decimal Form
Square Root of 4008 in Decimal form rounded to nearest 5 decimals:

63.30877

Exponent Form
Square Root of 4008 written with Exponent instead of Radical:

4008^½ = 2 x 1002^½

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* List of Perfect Squares