Simplify Square Root of 7004




Here we will show you step-by-step how to simplify the square root of 7004. The square root of 7004 can be written as follows:
     
  7004  

The √ symbol is called the radical sign. To simplify the square root of 7004 means to get the simplest radical form of √7004.

Step 1: List Factors
List the factors of 7004 like so:

1, 2, 4, 17, 34, 68, 103, 206, 412, 1751, 3502, 7004

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

1, 4

Step 3: Divide
Divide 7004 by the largest perfect square you found in the previous step:

7004 / 4 = 1751

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 7004 in its simplest form:
     
2 1751  


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Decimal Form
Square Root of 7004 in Decimal form rounded to nearest 5 decimals:

83.6899

Exponent Form
Square Root of 7004 written with Exponent instead of Radical:

7004½ = 2 x 1751½

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* List of Perfect Squares




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