Simplify Square Root of 8008

Here we will show you step-by-step how to simplify the square root of 8008. The square root of 8008 can be written as follows:


	√	8008

The √ symbol is called the radical sign. To simplify the square root of 8008 means to get the simplest radical form of √8008.

Step 1: List Factors
List the factors of 8008 like so:

1, 2, 4, 7, 8, 11, 13, 14, 22, 26, 28, 44, 52, 56, 77, 88, 91, 104, 143, 154, 182, 286, 308, 364, 572, 616, 728, 1001, 1144, 2002, 4004, 8008

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

1, 4

Step 3: Divide
Divide 8008 by the largest perfect square you found in the previous step:

8008 / 4 = 2002

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 8008 in its simplest form:


2	√	2002

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Decimal Form
Square Root of 8008 in Decimal form rounded to nearest 5 decimals:

89.48743

Exponent Form
Square Root of 8008 written with Exponent instead of Radical:

8008^½ = 2 x 2002^½

Simplify Square Root of 8009
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* List of Perfect Squares