Simplify Square Root of 6860

Here we will show you step-by-step how to simplify the square root of 6860. The square root of 6860 can be written as follows:


	√	6860

The √ symbol is called the radical sign. To simplify the square root of 6860 means to get the simplest radical form of √6860.

Step 1: List Factors
List the factors of 6860 like so:

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 343, 490, 686, 980, 1372, 1715, 3430, 6860

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

1, 4, 49, 196

Step 3: Divide
Divide 6860 by the largest perfect square you found in the previous step:

6860 / 196 = 35

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

√196 = 14

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 6860 in its simplest form:


14	√	35

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Decimal Form
Square Root of 6860 in Decimal form rounded to nearest 5 decimals:

82.82512

Exponent Form
Square Root of 6860 written with Exponent instead of Radical:

6860^½ = 14 x 35^½

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* List of Perfect Squares