Simplify Square Root of 8004

Here we will show you step-by-step how to simplify the square root of 8004. The square root of 8004 can be written as follows:


	√	8004

The √ symbol is called the radical sign. To simplify the square root of 8004 means to get the simplest radical form of √8004.

Step 1: List Factors
List the factors of 8004 like so:

1, 2, 3, 4, 6, 12, 23, 29, 46, 58, 69, 87, 92, 116, 138, 174, 276, 348, 667, 1334, 2001, 2668, 4002, 8004

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

1, 4

Step 3: Divide
Divide 8004 by the largest perfect square you found in the previous step:

8004 / 4 = 2001

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 8004 in its simplest form:


2	√	2001

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Decimal Form
Square Root of 8004 in Decimal form rounded to nearest 5 decimals:

89.46508

Exponent Form
Square Root of 8004 written with Exponent instead of Radical:

8004^½ = 2 x 2001^½

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* List of Perfect Squares