Simplify Square Root of 3008

Here we will show you step-by-step how to simplify the square root of 3008. The square root of 3008 can be written as follows:


	√	3008

The √ symbol is called the radical sign. To simplify the square root of 3008 means to get the simplest radical form of √3008.

Step 1: List Factors
List the factors of 3008 like so:

1, 2, 4, 8, 16, 32, 47, 64, 94, 188, 376, 752, 1504, 3008

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

1, 4, 16, 64

Step 3: Divide
Divide 3008 by the largest perfect square you found in the previous step:

3008 / 64 = 47

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

√64 = 8

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 3008 in its simplest form:


8	√	47

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Decimal Form
Square Root of 3008 in Decimal form rounded to nearest 5 decimals:

54.84524

Exponent Form
Square Root of 3008 written with Exponent instead of Radical:

3008^½ = 8 x 47^½

Simplify Square Root of 3009
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* List of Perfect Squares