Simplify Square Root of 6808




Here we will show you step-by-step how to simplify the square root of 6808. The square root of 6808 can be written as follows:
     
  6808  

The √ symbol is called the radical sign. To simplify the square root of 6808 means to get the simplest radical form of √6808.

Step 1: List Factors
List the factors of 6808 like so:

1, 2, 4, 8, 23, 37, 46, 74, 92, 148, 184, 296, 851, 1702, 3404, 6808

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

1, 4

Step 3: Divide
Divide 6808 by the largest perfect square you found in the previous step:

6808 / 4 = 1702

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 6808 in its simplest form:
     
2 1702  


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Decimal Form
Square Root of 6808 in Decimal form rounded to nearest 5 decimals:

82.51061

Exponent Form
Square Root of 6808 written with Exponent instead of Radical:

6808½ = 2 x 1702½

Simplify Square Root of 6809
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* List of Perfect Squares




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