Simplify Square Root of 3116

Here we will show you step-by-step how to simplify the square root of 3116. The square root of 3116 can be written as follows:


	√	3116

The √ symbol is called the radical sign. To simplify the square root of 3116 means to get the simplest radical form of √3116.

Step 1: List Factors
List the factors of 3116 like so:

1, 2, 4, 19, 38, 41, 76, 82, 164, 779, 1558, 3116

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

1, 4

Step 3: Divide
Divide 3116 by the largest perfect square you found in the previous step:

3116 / 4 = 779

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 3116 in its simplest form:


2	√	779

Simplify Square Root Calculator
Please enter another Square Root for us to simplify:

Decimal Form
Square Root of 3116 in Decimal form rounded to nearest 5 decimals:

55.82114

Exponent Form
Square Root of 3116 written with Exponent instead of Radical:

3116^½ = 2 x 779^½

Simplify Square Root of 3117
The answer to Simplify Square Root of 3116 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares