Simplify Square Root of 1008

Here we will show you step-by-step how to simplify the square root of 1008. The square root of 1008 can be written as follows:


	√	1008

The √ symbol is called the radical sign. To simplify the square root of 1008 means to get the simplest radical form of √1008.

Step 1: List Factors
List the factors of 1008 like so:

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 56, 63, 72, 84, 112, 126, 144, 168, 252, 336, 504, 1008

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

1, 4, 9, 16, 36, 144

Step 3: Divide
Divide 1008 by the largest perfect square you found in the previous step:

1008 / 144 = 7

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

√144 = 12

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 1008 in its simplest form:


12	√	7

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Decimal Form
Square Root of 1008 in Decimal form rounded to nearest 5 decimals:

31.74902

Exponent Form
Square Root of 1008 written with Exponent instead of Radical:

1008^½ = 12 x 7^½

Simplify Square Root of 1009
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* List of Perfect Squares