Simplify Square Root of 3006

Here we will show you step-by-step how to simplify the square root of 3006. The square root of 3006 can be written as follows:


	√	3006

The √ symbol is called the radical sign. To simplify the square root of 3006 means to get the simplest radical form of √3006.

Step 1: List Factors
List the factors of 3006 like so:

1, 2, 3, 6, 9, 18, 167, 334, 501, 1002, 1503, 3006

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

1, 9

Step 3: Divide
Divide 3006 by the largest perfect square you found in the previous step:

3006 / 9 = 334

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

√9 = 3

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 3006 in its simplest form:


3	√	334

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Decimal Form
Square Root of 3006 in Decimal form rounded to nearest 5 decimals:

54.827

Exponent Form
Square Root of 3006 written with Exponent instead of Radical:

3006^½ = 3 x 334^½

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* List of Perfect Squares