Simplify Square Root of 4004

Here we will show you step-by-step how to simplify the square root of 4004. The square root of 4004 can be written as follows:


	√	4004

The √ symbol is called the radical sign. To simplify the square root of 4004 means to get the simplest radical form of √4004.

Step 1: List Factors
List the factors of 4004 like so:

1, 2, 4, 7, 11, 13, 14, 22, 26, 28, 44, 52, 77, 91, 143, 154, 182, 286, 308, 364, 572, 1001, 2002, 4004

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

1, 4

Step 3: Divide
Divide 4004 by the largest perfect square you found in the previous step:

4004 / 4 = 1001

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 4004 in its simplest form:


2	√	1001

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Decimal Form
Square Root of 4004 in Decimal form rounded to nearest 5 decimals:

63.27717

Exponent Form
Square Root of 4004 written with Exponent instead of Radical:

4004^½ = 2 x 1001^½

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* List of Perfect Squares