Simplify Square Root of 6004

Here we will show you step-by-step how to simplify the square root of 6004. The square root of 6004 can be written as follows:


	√	6004

The √ symbol is called the radical sign. To simplify the square root of 6004 means to get the simplest radical form of √6004.

Step 1: List Factors
List the factors of 6004 like so:

1, 2, 4, 19, 38, 76, 79, 158, 316, 1501, 3002, 6004

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

1, 4

Step 3: Divide
Divide 6004 by the largest perfect square you found in the previous step:

6004 / 4 = 1501

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 6004 in its simplest form:


2	√	1501

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Decimal Form
Square Root of 6004 in Decimal form rounded to nearest 5 decimals:

77.48548

Exponent Form
Square Root of 6004 written with Exponent instead of Radical:

6004^½ = 2 x 1501^½

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* List of Perfect Squares