Simplify Square Root of 3112

Here we will show you step-by-step how to simplify the square root of 3112. The square root of 3112 can be written as follows:


	√	3112

The √ symbol is called the radical sign. To simplify the square root of 3112 means to get the simplest radical form of √3112.

Step 1: List Factors
List the factors of 3112 like so:

1, 2, 4, 8, 389, 778, 1556, 3112

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

1, 4

Step 3: Divide
Divide 3112 by the largest perfect square you found in the previous step:

3112 / 4 = 778

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 3112 in its simplest form:


2	√	778

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Decimal Form
Square Root of 3112 in Decimal form rounded to nearest 5 decimals:

55.7853

Exponent Form
Square Root of 3112 written with Exponent instead of Radical:

3112^½ = 2 x 778^½

Simplify Square Root of 3113
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* List of Perfect Squares