Simplify Square Root of 6908

Here we will show you step-by-step how to simplify the square root of 6908. The square root of 6908 can be written as follows:


	√	6908

The √ symbol is called the radical sign. To simplify the square root of 6908 means to get the simplest radical form of √6908.

Step 1: List Factors
List the factors of 6908 like so:

1, 2, 4, 11, 22, 44, 157, 314, 628, 1727, 3454, 6908

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

1, 4

Step 3: Divide
Divide 6908 by the largest perfect square you found in the previous step:

6908 / 4 = 1727

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 6908 in its simplest form:


2	√	1727

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Decimal Form
Square Root of 6908 in Decimal form rounded to nearest 5 decimals:

83.11438

Exponent Form
Square Root of 6908 written with Exponent instead of Radical:

6908^½ = 2 x 1727^½

Simplify Square Root of 6909
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* List of Perfect Squares