Simplify Square Root of 2004

Here we will show you step-by-step how to simplify the square root of 2004. The square root of 2004 can be written as follows:


	√	2004

The √ symbol is called the radical sign. To simplify the square root of 2004 means to get the simplest radical form of √2004.

Step 1: List Factors
List the factors of 2004 like so:

1, 2, 3, 4, 6, 12, 167, 334, 501, 668, 1002, 2004

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

1, 4

Step 3: Divide
Divide 2004 by the largest perfect square you found in the previous step:

2004 / 4 = 501

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 2004 in its simplest form:


2	√	501

Simplify Square Root Calculator
Please enter another Square Root for us to simplify:

Decimal Form
Square Root of 2004 in Decimal form rounded to nearest 5 decimals:

44.76606

Exponent Form
Square Root of 2004 written with Exponent instead of Radical:

2004^½ = 2 x 501^½

Simplify Square Root of 2005
The answer to Simplify Square Root of 2004 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares