Simplify Square Root of 5004

Here we will show you step-by-step how to simplify the square root of 5004. The square root of 5004 can be written as follows:


	√	5004

The √ symbol is called the radical sign. To simplify the square root of 5004 means to get the simplest radical form of √5004.

Step 1: List Factors
List the factors of 5004 like so:

1, 2, 3, 4, 6, 9, 12, 18, 36, 139, 278, 417, 556, 834, 1251, 1668, 2502, 5004

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

1, 4, 9, 36

Step 3: Divide
Divide 5004 by the largest perfect square you found in the previous step:

5004 / 36 = 139

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

√36 = 6

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5004 in its simplest form:


6	√	139

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Decimal Form
Square Root of 5004 in Decimal form rounded to nearest 5 decimals:

70.73896

Exponent Form
Square Root of 5004 written with Exponent instead of Radical:

5004^½ = 6 x 139^½

Simplify Square Root of 5005
The answer to Simplify Square Root of 5004 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares