Simplify Square Root of 1004

Here we will show you step-by-step how to simplify the square root of 1004. The square root of 1004 can be written as follows:


	√	1004

The √ symbol is called the radical sign. To simplify the square root of 1004 means to get the simplest radical form of √1004.

Step 1: List Factors
List the factors of 1004 like so:

1, 2, 4, 251, 502, 1004

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

1, 4

Step 3: Divide
Divide 1004 by the largest perfect square you found in the previous step:

1004 / 4 = 251

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 1004 in its simplest form:


2	√	251

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Decimal Form
Square Root of 1004 in Decimal form rounded to nearest 5 decimals:

31.68596

Exponent Form
Square Root of 1004 written with Exponent instead of Radical:

1004^½ = 2 x 251^½

Simplify Square Root of 1005
The answer to Simplify Square Root of 1004 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares