Simplify Square Root of 6856

Here we will show you step-by-step how to simplify the square root of 6856. The square root of 6856 can be written as follows:


	√	6856

The √ symbol is called the radical sign. To simplify the square root of 6856 means to get the simplest radical form of √6856.

Step 1: List Factors
List the factors of 6856 like so:

1, 2, 4, 8, 857, 1714, 3428, 6856

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

1, 4

Step 3: Divide
Divide 6856 by the largest perfect square you found in the previous step:

6856 / 4 = 1714

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 6856 in its simplest form:


2	√	1714

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Decimal Form
Square Root of 6856 in Decimal form rounded to nearest 5 decimals:

82.80097

Exponent Form
Square Root of 6856 written with Exponent instead of Radical:

6856^½ = 2 x 1714^½

Simplify Square Root of 6857
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* List of Perfect Squares