Simplify Square Root of 7008

Here we will show you step-by-step how to simplify the square root of 7008. The square root of 7008 can be written as follows:


	√	7008

The √ symbol is called the radical sign. To simplify the square root of 7008 means to get the simplest radical form of √7008.

Step 1: List Factors
List the factors of 7008 like so:

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 73, 96, 146, 219, 292, 438, 584, 876, 1168, 1752, 2336, 3504, 7008

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

1, 4, 16

Step 3: Divide
Divide 7008 by the largest perfect square you found in the previous step:

7008 / 16 = 438

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

√16 = 4

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 7008 in its simplest form:


4	√	438

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Decimal Form
Square Root of 7008 in Decimal form rounded to nearest 5 decimals:

83.7138

Exponent Form
Square Root of 7008 written with Exponent instead of Radical:

7008^½ = 4 x 438^½

Simplify Square Root of 7009
The answer to Simplify Square Root of 7008 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares